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Using multiple properties of exponents simplify the expression 

Brian McLogan
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👉 Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the parenthesis is multiplied to each of the exponents of the individual terms of the expression.
The negative power rule of exponents states that a power with negative exponents is equivalent to the reciprocal of the power with the positive exponent.
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Organized Videos:
✅Simplify Using the Rules of Exponents
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Power Rule
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Product Rule
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Quotient Rule
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Learn About
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Power Rule with Negative Powers
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Quotient Rule
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Product Rule
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Multiply Rational Expressions
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Divide Rational Expressions
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Add Subtract Rational Expressions
• Simplify Using the Rul...
🗂️ Organized playlists by classes here: / mrbrianmclogan
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👨‍🏫 Current Courses on Udemy: www.udemy.com/user/brianmclog...
👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvideos.com/about-me/
#Simplfiyexpressions #rulesofexponents #brianmclogan

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16 янв 2013

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Комментарии : 262   
@officialalicex4137
@officialalicex4137 5 лет назад
I just learned more in 5 minutes than my teacher teaches in a month
@aydenowens9522
@aydenowens9522 4 года назад
facts
@stevenlee_1
@stevenlee_1 4 года назад
Same!
@lindseyhubbs2966
@lindseyhubbs2966 4 года назад
Officialalicex exactly
@saniazhumabekova9891
@saniazhumabekova9891 3 года назад
I completely agree with you
@farragoprismproductions3337
@farragoprismproductions3337 3 года назад
*Life is big gae, must return to monkE*
@azrael6348
@azrael6348 3 года назад
This was 7 years ago but it still shows how this guy can teach us better in 5 minutes than our teacher spending hours
@azrael6348
@azrael6348 3 года назад
I want him to be my teacher no cap
@JenniferBailey-em1eg
@JenniferBailey-em1eg 6 месяцев назад
facts!@@azrael6348
@colindement3217
@colindement3217 5 лет назад
My teacher takes and hour and 15 minutes a day teaching this to me and I still didn't understand it. This dude in one five minute video made me feel like Einstein
@oksomynameisjeff4212
@oksomynameisjeff4212 3 года назад
lol me too
@Mark-eb2jc
@Mark-eb2jc 2 года назад
Do you think you would have understood it just as well if you watched this video first
@colindement3217
@colindement3217 2 года назад
@@Mark-eb2jc yes mark, yes I would
@nokuthulancwane916
@nokuthulancwane916 2 года назад
@@Mark-eb2jc yep ,lol
@JAYLANDS1119
@JAYLANDS1119 4 месяца назад
When someone comments about how this guy helps them to understand better than their teacher does, it doesn’t mean they dont pay attention in class and their not downing their teacher. Mr Mclogan just teaches everything in a specific way that makes so much sense. I always run to this channel when I run across something I need help with.
@jai..837
@jai..837 3 года назад
Who else is struggling in these zoom classes rn💆🏾😴
@Aka_amir_i
@Aka_amir_i 3 года назад
bruhh me
@melloyello1971
@melloyello1971 3 года назад
it is getting hard holding an A in math
@michaelasuorsa
@michaelasuorsa 6 лет назад
“That’s why you’re the star student” lmaoo
@brianmclogan
@brianmclogan 6 лет назад
😄
@Bansheekilr
@Bansheekilr 5 лет назад
Among other reasons
@jessedphillips
@jessedphillips 4 года назад
Go Hazel!
@alanaguina6753
@alanaguina6753 4 года назад
Mario R bruhhhhhhhhhhh you did not
@AJ-sx6iv
@AJ-sx6iv 4 года назад
@@alanaguina6753 r/wooosh
@jonathantorres1077
@jonathantorres1077 6 лет назад
Dude I’m so thankful you are on RU-vid because I just noticed that when ever I don’t understand math I watch you and know it
@brianmclogan
@brianmclogan 6 лет назад
That is great to hear Jonathan. Happy to be there for you
@vibhavarajaguru1894
@vibhavarajaguru1894 5 лет назад
DAMN IT ALEX
@David-bt3ud
@David-bt3ud 4 года назад
Got the whole sqaud laughing
@jasminesmith5447
@jasminesmith5447 4 года назад
Him walking away from the board after finishing the problem was equivalent to someone dropping the mic after spitting some fire bars....he just knew he did that! I'm here for it though because I finally know how to do problems like this because of him. Thanks boss!
@hannahbellee
@hannahbellee 5 лет назад
you saved my final grade. thank u so much.
@PoserDisposer413
@PoserDisposer413 3 года назад
Thank you dude. I'm taking a math course online and the resources have been lacking...this video taught me more in 5 minutes than the pre-recorded lectures ive been watching. An actual example similar to what I've been seeing on my assignments, step by step in plain English. My professor zoomed through the exponent rules using the most primitive examples, then we saw problems like this on the homework and it seemed so foreign as compared to the examples he showed us. This is what I needed!!!
@tardigradeplays9167
@tardigradeplays9167 6 месяцев назад
I agree dude I’m on red comet retaking semester two of algebra 1 and this explained something my teacher failed to explain
@isabellarappaccioli2813
@isabellarappaccioli2813 3 года назад
I'm doing an advanced math course this summer, and there was one unit that I really struggled with. The lady narrating the video took nearly 20 minutes to explain the same concept discussed here, but I still didn't understand by the end of the video. This five minute snippet helped me so much. Thanks!
@digitalbrain8632
@digitalbrain8632 4 года назад
So in school I get so confused, but right now I literally understood every single thing I didn't understand, thank you!
@_Free_Thinker
@_Free_Thinker 5 лет назад
Love your work! Thank you for sharing your lessons with the world. ❤👍😀
@spamacc9621
@spamacc9621 4 года назад
i wish every teacher was like this, thank you.
@taylorwhite5067
@taylorwhite5067 4 года назад
my teacher taught this a different way and called it a 'shortcut' it was just a 'shortcut' to my confusion
@zplymer
@zplymer Год назад
Bro teached us in 5 minutes better than teachers that take 3 weeks to explain this
@Danymok
@Danymok 5 лет назад
4:08 I was thinking the same thing!
@stunningcactus978
@stunningcactus978 2 года назад
Very succinctly communicated. Great teaching!
@pgpc6448
@pgpc6448 2 года назад
Love your step by step!! My 5th grade enrichment group will love this!!!
@rue1162
@rue1162 4 года назад
The 1st minute of this made me understand everything 😶. Thank you so much
@isaiahwinkler7579
@isaiahwinkler7579 3 года назад
I respect this man's side hustle of making RU-vid videos
@sebastiansebastian5270
@sebastiansebastian5270 2 года назад
This was before you could monetize videos
@Lilliaan.
@Lilliaan. Год назад
Thank you so much! I've been struggling with this for a while, now it finally makes sense!
@keshaunastewart2271
@keshaunastewart2271 Год назад
Thank you so much. You teach me better than my actual prof! You are the one helping me pass my math class!! Math has always been so hard for me and this topic as well. So thank you ❤️😌 every time I don’t understand something I literally come to your page and search for it !!
@ttfirs4330
@ttfirs4330 4 года назад
bruh this guy is my saviour, i just checked the grade i got on a test about this and i got a 94 :)
@azrael6348
@azrael6348 3 года назад
Well done!!
@patricioargote4813
@patricioargote4813 4 года назад
This was 7 years ago, I wonder were the kids in that classroom are now.
@l0gik321
@l0gik321 3 года назад
probably done with school by now
@loriglynn3154
@loriglynn3154 3 месяца назад
He explains everything so much better than my son’s teacher!!! Love his style of teaching!!!!
@MsHortel
@MsHortel 4 месяца назад
Professor McLogan is wonderful. He makes algebra simple for simple minds like myself. Thank you Professor McLogan.
@Raddy8811
@Raddy8811 2 года назад
Best math teacher. I have an exam tmrw and I didn’t understand. Thank you for helping.
@moojza
@moojza 5 лет назад
Well just learned more here than the last 3 months of school.
@colourlessfool5107
@colourlessfool5107 3 года назад
This is so useful, Now I know hot to apply the exponent rules
@kureakuma443
@kureakuma443 4 года назад
This helps a ton! Thank you.
@raepuppy3444
@raepuppy3444 4 года назад
I love your videos, they are my go to. My teacher does not explain math in a way that I understand, and you do.
@informativecontent4778
@informativecontent4778 Год назад
for this specific problem this is 1 of the best explanations i could fine online
@bananapudding4854
@bananapudding4854 4 года назад
Your videos are good. Also...I love how you call out the kids in every video.
@lukedaduke9368
@lukedaduke9368 2 года назад
This is freaking awesome, I wish all math teachers where like you
@bagellover4102
@bagellover4102 4 года назад
Omg THANK YOU SO MUCH!!! You saved my life!!!
@mahiralalani9818
@mahiralalani9818 4 года назад
This guy just thought me some things the day before my mid term 😮
@jacoblara1654
@jacoblara1654 4 года назад
When you reciprocate the fraction from negative squared to positive squared. How exactly do I know that I don’t have to multiply the fraction to itself?
@josiek1849
@josiek1849 3 года назад
i so wish you were my teacher in highschool, more than half the time I go directly to your videos after class so i can acually understand. You have helped me raise my geades sooo muchhh!!! thank you!
@SamuelIpero
@SamuelIpero 4 года назад
This was helpful. Thanks
@reinadecastro3856
@reinadecastro3856 5 лет назад
Im watching to learn. Thank you
@itzkryptic5693
@itzkryptic5693 3 года назад
This was a great explanation 👍
@poere1234
@poere1234 2 года назад
you make things 10x easier to understand I am not joking you have helped me so much, thank you, and i hope god blesses you so much that you become an millionaire lol idk what to say but im just filled with gratitude so thank you so much
@amabellelanas8728
@amabellelanas8728 3 года назад
Thanks for teachinggg!
@writingforfun7783
@writingforfun7783 Год назад
This guy taught me my entire lesson in five minutes than my algebra teacher in seven hours
@waddle_szn8093
@waddle_szn8093 2 года назад
bro thank you i have a huge test on this today and this is a great video to study with :D
@soapmac3734
@soapmac3734 4 года назад
Thanks for making this vid it helps me a lot😊
@iamaqween5156
@iamaqween5156 2 года назад
THANK YOU SO MUCH MR!
@KRISytc
@KRISytc 6 лет назад
Great Video!👏😇thank you
@brianmclogan
@brianmclogan 6 лет назад
you are very welcome!
@brightsky3958
@brightsky3958 2 года назад
Thank you so much for this. This has been a great help in finishing my homework. God bless.
@brianmclogan
@brianmclogan 2 года назад
You are very welcome!!
@kevinceniceros1690
@kevinceniceros1690 4 года назад
So, in other words, you don't need the 1, 2, 3, and 4 gibberish. You just flip the problem, times it, and divide and subtract the exponents.
@ebronmfunka6714
@ebronmfunka6714 3 года назад
I love this what a good explanation thumbs up sir
@anthonymorris6801
@anthonymorris6801 2 года назад
Excellent!!!
@benfarmer5256
@benfarmer5256 4 года назад
My teacher is now using your videos in my class after I mention you.
@mahdijaghori6886
@mahdijaghori6886 5 лет назад
I just want say thank u s much to be successful man :)
@raqad4642
@raqad4642 3 года назад
How I can solve like this one without the parentheses? For example, 👉🏻x^3y_2/x_5y8 this means X powered 3 y_2/ X_5y8 ?You’re awesome instructor and your videos is very helpful thanks. I am stuck with this
@brandonwill3666
@brandonwill3666 3 года назад
Thank you so much
@akenn23
@akenn23 11 месяцев назад
As a bloke named Alex, that intro certainly got my attention.
@winstondennisperable
@winstondennisperable Год назад
Great explanation ❤❤❤
@loribroussard3172
@loribroussard3172 5 лет назад
Question??? is the first problem simplified to final form? Why is y^4 in denominator not subtracted to y^10 in numerator? I'm missing something here.
@alexandrebrownAI
@alexandrebrownAI 5 лет назад
Watch until the end Lori
@ybgrev4632
@ybgrev4632 6 лет назад
Congrats on 100k subs. (Almost)
@brianmclogan
@brianmclogan 6 лет назад
Thanks!
@TheKrazyLobster
@TheKrazyLobster 3 года назад
YES! I GOT IT RIGHT EVEN WITH THE SIMPLIFICATION! HELL YEAH!
@user-lb4rp8df7x
@user-lb4rp8df7x 5 месяцев назад
thank you !
@dreyvangogh6570
@dreyvangogh6570 2 года назад
Our teacher would teach us math in more than a month but here, I learned a lot in 5 minutes
@kevinceniceros1690
@kevinceniceros1690 4 года назад
I'm glad I'm watching this. I've been out of college for two months. Just recently got my two associate degrees and my certificate of completion. I remember learning about this kind of problem when I was taking a math course (which I passed with a B) and that I always fucked up on this kind of problem.
@user-zf8gy1yw1p
@user-zf8gy1yw1p 4 года назад
no cussing?
@fileminokilicho1855
@fileminokilicho1855 Год назад
Are you going to simplify the variables so that it becomes y raised to the sixth power over 4 x squared?
@bruh.2526
@bruh.2526 3 года назад
Netflix: Are you still watching? Someone's daughter: 5:35
@brianmclogan
@brianmclogan 3 года назад
No
@bruh.2526
@bruh.2526 3 года назад
@@brianmclogan Lmfao
@avertoe8317
@avertoe8317 4 месяца назад
Thank you so much! 9th grade math is killing me, and I‘m not good at focusing face to face lol. This helped a ton!
@vid8301
@vid8301 6 лет назад
hello brian, Do you have a video on rational expressions with negative number on the outside and negative number on the inside as well?
@vid8301
@vid8301 6 лет назад
Lets say if there is 2 exponent on the outside of the bracket and one is positive +5 on top and negative -2 on the bottom. When its flipped is 5 exponent still postive?
@brianmclogan
@brianmclogan 6 лет назад
not sure I have a couple of playlists on rules of exponents, just search youtube "#exponent mclogan"
@sukhmanisingh1903
@sukhmanisingh1903 2 года назад
Man this guy is way better than my teacher, In the explanation parts
@gilnahnu
@gilnahnu Год назад
you're a legend!!
@michaelasuorsa
@michaelasuorsa 6 лет назад
This video helped thank you
@brianmclogan
@brianmclogan 6 лет назад
you are very welcome!
@trevorlei4096
@trevorlei4096 5 лет назад
omg im in ur class, best teacher ever
@Shortsfilm1123
@Shortsfilm1123 5 лет назад
Great!
@pentameteriamb6196
@pentameteriamb6196 3 года назад
Great math teacher! :-)
@emilycoel6276
@emilycoel6276 4 года назад
Thank u so much
@nirmalschannel
@nirmalschannel 4 года назад
You'd think I should remember this out of high school but I'm literally watching your videos as a Sophomore in college taking Calc I because I know how to do multiple regression analysis but somehow don't remember basic algebra lol
@pillowyflunky9931
@pillowyflunky9931 Год назад
thank you
@bhaskardeshmukh4730
@bhaskardeshmukh4730 3 года назад
This is great
@julianakokavec9368
@julianakokavec9368 4 года назад
Lifesaver right here yall
@ahmedalmedel4106
@ahmedalmedel4106 Год назад
Very good 😊😊
@michaelbuscano5520
@michaelbuscano5520 2 года назад
Good afternoon sir. May I ask what if the exponent is in fraction? For example [(4a2b3c-17)2(b3c-4)(2a-2)-2/4a2bc2] 1/2
@hamzah15racing62
@hamzah15racing62 Год назад
U could use Photomath
@makaylam947
@makaylam947 5 лет назад
How did you get (y^5)^2 to equal y^4 at the end? I thought it would be y^10 because 5 x 2 = 10? helped so much though!!
@user-sb7mr7oi2x
@user-sb7mr7oi2x 4 года назад
he got y10 but than he subtracted by y4 and got y6
@AJ-sx6iv
@AJ-sx6iv 4 года назад
@@user-sb7mr7oi2x OHHHHHHHH,I GOT THE SAME PROBLEM XD,thanks for helping
@pbb1311
@pbb1311 2 года назад
I'm incredibly late but in case anyone else wants to know, there were two y's. The 1st Y was (y^5)^2 and that went in the numerator, and the y^4 was added in the denominator because (y^2)^2= y^4.
@simonealston-freeman3432
@simonealston-freeman3432 Год назад
How do I turn this into positive exponents: 3u8v4/7u5v2
@jenedmonds3047
@jenedmonds3047 2 года назад
Amazing thank you
@brianmclogan
@brianmclogan 2 года назад
You are very welcome!!
@maryam4587
@maryam4587 6 лет назад
Thank you
@brianmclogan
@brianmclogan 6 лет назад
you are very welcome!
@jaykobmarie5745
@jaykobmarie5745 5 лет назад
this is incredibly late, but i'm struggling on a problem that i have to use the properties of exponents to simplify the expression (y to the exponent of 3/2, and x to the exponent of -1/2) to the exponent of 4. shown as (y^3/2 x^-1/2)^4. if you can, could you explain to me what i am supposed to do? so sorry that i'm asking you the day after Christmas. i would appreciate it if you could get to it whenever you can. please and thank you(:
@brianmclogan
@brianmclogan 5 лет назад
need to distribute the power 4 to all the exponents, check out my playlist on properties of exponents as I have many similar videos
@hpoh4851
@hpoh4851 5 лет назад
I wish this was my teacher
@michellecarroll6543
@michellecarroll6543 2 года назад
You’re the reason I’m passing college algebra
@hadasah6309
@hadasah6309 2 года назад
I'm saved! 😁
@devz3143
@devz3143 6 лет назад
4:56 How did you get that 1/4?
@brianmclogan
@brianmclogan 6 лет назад
there is a coefficient of 1 in front of the x^4 in the numerator
@infinitesimotel
@infinitesimotel 5 лет назад
same principle as 1/2 * x is also x/2. Dividing by 2 is the same as multiplying by 1/2.
@heapt1
@heapt1 5 лет назад
Brian McLogan why isn’t the exponent for the denominator in the final answer not negative
@gangstafreinds9824
@gangstafreinds9824 4 года назад
@@heapt1 because you can't have a negative so he flipped it to the bottom to turn it to a positive
@boitumeloromeo3488
@boitumeloromeo3488 6 лет назад
So far you there best,more simplified
@brianmclogan
@brianmclogan 6 лет назад
happy to be able to help Boitumelo
@MarlieRietschel
@MarlieRietschel 2 года назад
Just wondering, what grade do you teach? I’m only in 8th and I’m learning this, very helpful by the way! Hoping to do good on my test tommorow
@ryyyyy69
@ryyyyy69 Год назад
did you do good on your test bro
@MarlieRietschel
@MarlieRietschel Год назад
@@ryyyyy69 I don’t remember lol. I’m in 9th grade now
@ryyyyy69
@ryyyyy69 Год назад
@@MarlieRietschel damn im in 9th too doing this
@gilnahnu
@gilnahnu Год назад
@@ryyyyy69 bruv im in 10th doing this
@ryyyyy69
@ryyyyy69 Год назад
@@gilnahnu holy FUCK
@jasminec9131
@jasminec9131 2 года назад
thankyou
@morfonalexandra
@morfonalexandra 4 года назад
Damn. I wish you were my math teacher
@flein2519
@flein2519 4 года назад
hey sir! thanks alot i've learned better more than my teacher, i mean it doesn't mean that my teacher is bad than you i just dont understand her explanation.. again, thanks alot!!! (subscribe)
@david._.6816
@david._.6816 4 года назад
How come the x^-2 goes on the bottom? since it has a negative power, shouldn't it go on the top instead of the bottom? Confusing.but nice work though.
@Cruz8R
@Cruz8R 3 года назад
It is already at the top with the minus sign so it went at the bottom. Had it been at the bottom than it would have gone to the top.
@Cruz8R
@Cruz8R 3 года назад
1 xˉ² y⁶ 1 1 y⁶ y⁶ ─ · ── · ── = ─ · ── · ─ = ── 4 1 1 4 x² 1 4x²
@edwinperez3148
@edwinperez3148 3 года назад
Great job teaching the procedure for simplifying the expression. At the end of your tutorial your video is blocked by other video previews. Sometimes your work on your board is blocked. I don't know if this is something you have control over. This occurs on all youtube videos, the idea is that your should be done before they obscure your boar
@brianmclogan
@brianmclogan 3 года назад
Happy to look into fixing this, thank you for the heads up
@Dottywalkers9
@Dottywalkers9 3 года назад
Teacher: Does anyone have any questions. Me:Yeah uh...Can you teach me math all the time??
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