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How to simplify a fraction raised to a negative exponent 

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...
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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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15 апр 2012

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Комментарии : 407   
@barretthodgson522
@barretthodgson522 10 лет назад
Why does a 2 minute video make me understand something I haven't gotten in 2 weeks of learning about it? Thanks so much!
@brianmclogan
@brianmclogan 10 лет назад
you are very welcome! happy to help
@silent-ninja837
@silent-ninja837 7 лет назад
LOL yeah complete bullshit how I can sit through an entire lecture with someone explaining it in a way that makes no sense. Come on youtube and understand it in a 2 minute video.
@tomi1915
@tomi1915 5 лет назад
cough cough * the teachers
@fredd298
@fredd298 5 лет назад
'Cos you're actually listening now
@jadamichele9739
@jadamichele9739 3 года назад
I learned more in this class than in my online algebra class😂
@octretta8132
@octretta8132 4 года назад
Hi, I'm an eighth grader having online school due to the COVID pandemic, and couldn't clarify this with my teacher, so yeah, thanks so much for saving my life.
@nicp3339
@nicp3339 3 года назад
Exactly, Me too. If he was my math teacher I would most definitely not be doing 8th grade level right now.
@mogumoguokayu1418
@mogumoguokayu1418 3 года назад
yo dude your not the only one
@stryk3r360
@stryk3r360 7 лет назад
the discovery of this channel may lead to me passing my maths a levels, thanks so much
@brianmclogan
@brianmclogan 7 лет назад
haha you are very welcome! spread the word
@brianmclogan
@brianmclogan 11 лет назад
just a normal guy in Jacksonville Florida, let me know how else I can help you
@MD-cd7em
@MD-cd7em 6 лет назад
Brian McLogan GREAT EXPLANATION!
@dakshabavala8042
@dakshabavala8042 3 года назад
Sir great! you are the best explainer.
@bigboymatthew7471
@bigboymatthew7471 3 года назад
I'm in florida too that's cool
@lakshyasrivastava4871
@lakshyasrivastava4871 3 года назад
Sir how to solve if powers are also in negative fraction
@iagnwh
@iagnwh 11 лет назад
Dude you're a lifesaver. I'm in pre calculus and i watch these videos to study for tests and to better understand what I learned in class. You seem to be the only guy with this many videos and you do a great job making them. Please keep them coming. I appreciate them so much as a student!
@brianmclogan
@brianmclogan 11 лет назад
thank you very much Ryan for spending the time to write to me. I really appreciate it and am happy to help you in any way that I can. I just hope I am able to teach new classes next year to keep the videos coming.
@AskBibleNotes
@AskBibleNotes 3 года назад
I have been staring at a textbook for 6 hours trying to understand this concept and you just taught this in less than 3 minutes. Kudos to you, sir!
@brianmclogan
@brianmclogan 11 лет назад
happy to help, I have a lot of videos so I hope they can help you for whatever you are looking for
@brianmclogan
@brianmclogan 10 лет назад
good for you! keep up the hard work
@SAMsolarflare
@SAMsolarflare 9 лет назад
Mr. McLogan's Math Channel is the greatest! Thank you so much.
@brianmclogan
@brianmclogan 9 лет назад
Salomon Molko : ) thank you for checking in, here for you
@brianmclogan
@brianmclogan 10 лет назад
thank you, happy to help!
@brianmclogan
@brianmclogan 11 лет назад
Great, you can favorite it and check it out in a couple of months when you need it. Mod G has plenty of the same videos
@brianmclogan
@brianmclogan 11 лет назад
thanks, hopefully the mass of my videos have been able to help you out with everything you need. Let me know if I can help you further
@brianmclogan
@brianmclogan 11 лет назад
That can be tough for a math class. Keep up the hard work and feel free to use my videos to review or learn at your own pace
@gerardorios9885
@gerardorios9885 8 лет назад
after being one year out of school for military training your videos just made me remember the topics thank you
@brianmclogan
@brianmclogan 8 лет назад
you are very welcome! happy to be able to assist you
@numbklapz9159
@numbklapz9159 5 лет назад
Thank you so much couldn't find this any where else very much appreciated!!!
@brianmclogan
@brianmclogan 12 лет назад
glad you liked it. Hope it helped
@brianmclogan
@brianmclogan 11 лет назад
great! glad to help
@brianmclogan
@brianmclogan 11 лет назад
2/(3^-1) is equal to 2*(3^1) which equals 6 remember a negative exponent is positive for it's reciprocal ex 1/x^-m = x^m
@brianmclogan
@brianmclogan 12 лет назад
sweet, let me know how else I can help you, I am currently working on organizing my videos and creating a website
@brianmclogan
@brianmclogan 11 лет назад
I hope all of my videos can help you along
@Ali-iq2yp
@Ali-iq2yp 5 месяцев назад
Brian mclogan you are my saviour
@brianmclogan
@brianmclogan 11 лет назад
perfect thanks
@kellygaskins7935
@kellygaskins7935 4 года назад
Just found your video's - Love your teaching!
@feonadong3372
@feonadong3372 12 лет назад
thanks this actually helped and allowed me to understand, i'll definitely be coming back for more help!
@SaltWaterDrums
@SaltWaterDrums 8 лет назад
Prepping for the SATs, this video finally filled a hole in my mathematics toolbox, thank you!
@brianmclogan
@brianmclogan 8 лет назад
+Truth Muller you are very welcome! good luck to you
@setantakelly4166
@setantakelly4166 2 года назад
Same I’m not doing sats but I didn’t understand the concept with the 1 I thought it just when above the negative all the time
@brianmclogan
@brianmclogan 11 лет назад
awesome! keep working hard
@stevemartinalmonds
@stevemartinalmonds 7 лет назад
Hi Brian, thanks for this video. I was trying to do patterns and all sorts of things to help me understand why this rule works. Found your video by accident when looking for something else about having negative base, with or without parenthesis and with a positive exponent. I count myself lucky I've found your explanation for this problem. Perfect! Thank You!! :-)
@brianmclogan
@brianmclogan 7 лет назад
you are very welcome! happy to be able to help
@shicarrell7060
@shicarrell7060 3 месяца назад
Great explanation! Thank you.
@williamnguyen9057
@williamnguyen9057 3 года назад
Back at it again, you’ve saved me once again!
@as14n91
@as14n91 3 года назад
This man made me pass a stuck question cheers to this mad man
@cheetoskids4090
@cheetoskids4090 3 года назад
i’ve watched so many of ur videos and they really helped me. thank you :)
@amanda-qi2ym
@amanda-qi2ym 3 года назад
you have saved my life so many times thank you!!! 👍🏽👍🏽
@Haruwrites
@Haruwrites 4 года назад
Thanks you soo much! I finally understood the lesson.
@MikeMood
@MikeMood 5 лет назад
Man you're a legend , thanks so much!!
@rosielotus6173
@rosielotus6173 2 года назад
Thanks so much. Enjoyed it and learnt from it. God bless
@AmazingMReviews
@AmazingMReviews 10 лет назад
Mr. McLogan explains things so much better than websites.
@brianmclogan
@brianmclogan 10 лет назад
TheMattMan095 which websites have you visited, just curious. Happy to help any way I can
@AmazingMReviews
@AmazingMReviews 10 лет назад
Tiger Algebra mostly. I sometimes use Purple Math
@JustBeFancy
@JustBeFancy 11 лет назад
nice quick refresher, thanks!!
@bryandavid4036
@bryandavid4036 3 года назад
thank you so much sir Brian! Your videos helped me a lot sir! God Bless
@palipride303
@palipride303 Год назад
This was so helpful thank you!!!
@tdofeldt5742
@tdofeldt5742 5 лет назад
Your class is lucky to have you as a teacher, thanks!
@brianmclogan
@brianmclogan 5 лет назад
Thanks Ewonne
@XxKathrynRyderxX
@XxKathrynRyderxX 11 лет назад
Thank you so much for this video, you have no idea how much I hate algebra but this just made it so much easier
@rachelmayer8828
@rachelmayer8828 9 лет назад
wow this made it simple for me Mr. McLogan, Thank you so much
@brianmclogan
@brianmclogan 9 лет назад
Rachel Mayer you are very welcome! happy to be able to help you out
@brianmclogan
@brianmclogan 10 лет назад
this was for my 9th grade algebra one class
@cadencorbitt804
@cadencorbitt804 9 лет назад
this was very helpful ty bro
@FairfaxHigh24
@FairfaxHigh24 8 лет назад
You just helped me in a calculus exam... Thank you so much!
@brianmclogan
@brianmclogan 8 лет назад
+Elijah Jenkins you are very welcome! happy to be able to help you out.
@matthewlin7354
@matthewlin7354 7 лет назад
Thanks so much for helping me with my Maths Homework - have a test in a few days! Shout-out to those reading in 2017! :)
@brianmclogan
@brianmclogan 7 лет назад
cheers!
@lr4083
@lr4083 3 года назад
This cleared up my entire confusion on this topic and I’m so surprised thank you
@brianmclogan
@brianmclogan 3 года назад
Wow sweet!
@isabellad2819
@isabellad2819 4 года назад
I love your explanation,you made math look so easy
@m_porpiojulesgabrieljutba327
@m_porpiojulesgabrieljutba327 3 месяца назад
thx Sir really helped. i was confused but now i get it thanks to you! God bless ❤
@luisomarolvera4463
@luisomarolvera4463 4 года назад
In the first 30 seconds the video helped me understand a thing I couldn’t learn in one month thanks a lot 😁😁😁
@brianmclogan
@brianmclogan 11 лет назад
are you asking what that would be? - 1/(12x)^2 or - 1/144x^2
@kfjfkeofitorhf9520
@kfjfkeofitorhf9520 Год назад
-1/12^X^2= -1/144
@brianmclogan
@brianmclogan 11 лет назад
your very welcome
@jonathanpaulino9588
@jonathanpaulino9588 5 лет назад
FINALLY I GET IT THANKS MAN! TOOK ME FOREVER TO FIGURE THIS STUFF OUT and you did it withing 3 minutes
@brianmclogan
@brianmclogan 5 лет назад
you are very welcome Jonathan!!!
@Angie-fj5ul
@Angie-fj5ul 3 года назад
THANKYOU FOR THIS! HELPED ME A LOT DURING MY ONLINE CLASSES
@Shrawani_Singh
@Shrawani_Singh 4 года назад
8 years old video but still I understand very well I am in class 8 and it was really very nice I understood every concept Well I am an indian😊😊
@balta0shorts
@balta0shorts 3 года назад
Didnt ask lol
@Shrawani_Singh
@Shrawani_Singh 3 года назад
@@balta0shorts What do you mean?
@nuanesd
@nuanesd 2 года назад
You just saved my brain so much trouble. This was the best!
@matthewnachtwey3012
@matthewnachtwey3012 4 года назад
Your video are way better than Aleks that only explain how to solve it, not how math works. Subscribed, Today!
@MoneyIsLife
@MoneyIsLife 11 лет назад
Thanks, this really helped me with my homework.
@tenkaithesadgeman3962
@tenkaithesadgeman3962 5 лет назад
I needed this for my final in an hour thank you so much! I want you as my teacher lol
@classicgrinch
@classicgrinch 11 лет назад
WHERE IS THIS FABULOUS TEACHER AND HOW CAN I BE IN HIS AMAZING CLASS HOLY LORD.
@GeneralBanana1
@GeneralBanana1 Год назад
explained so much better than my teacher. Thank you
@natasha545454
@natasha545454 9 лет назад
This really made me calm down when i was revising for an exam. Thank you so much, you are a true hero and a life saver!!!
@brianmclogan
@brianmclogan 9 лет назад
Natasha Cullen you are very welcome! best of luck!
@__Em__Em
@__Em__Em Год назад
I am a 6th grader and I recently got moved from a 6th grade advanced, to 7th grade advanced, so this helped me out A LOT, thanks man.
@Miracleshappen2222
@Miracleshappen2222 3 года назад
Thankyou so much...i understood well
@rebeccatalbot7801
@rebeccatalbot7801 7 лет назад
Thank you so much! I was looking everywhere trying to find out how to solve this type of question, I wasn't taught this way in class but it is so helpful, thanks!
@brianmclogan
@brianmclogan 7 лет назад
you are very welcome! happy to be able to assist you
@venven24
@venven24 3 года назад
Thanks! Very helpful :)
@BAD2671
@BAD2671 10 лет назад
Hello Mr McLogan, Does flipping the numerator and denominator also work when it isn't to the power of negative 1. E.g. 2/7 to the power of -2. Thanks in advance for your help!
@brianmclogan
@brianmclogan 10 лет назад
yes(2/7)^-2 is equal to (7/2)^2
@deadshot9050
@deadshot9050 4 года назад
Love from india 🇮🇳 , very good work sir !!! Now no one can make fun of me in math.
@brianmclogan
@brianmclogan 11 лет назад
do you understand? or do you want me to re explain?
@mlkgal
@mlkgal 3 года назад
Thank you.
@justanotheryoutuber2497
@justanotheryoutuber2497 6 лет назад
Thank you so much! Rly needed this ^^
@brianmclogan
@brianmclogan 6 лет назад
you are very welcome! happy to be able to help
@aishverjude2408
@aishverjude2408 6 лет назад
I agree with some of the comments. Plz keep making videos like this. My teacher spent weeks teaching my class this but none of us understood. Now I will be sharing this video with all my classmates because it is rlly helpful. Thank you very much
@brianmclogan
@brianmclogan 6 лет назад
you are very welcome Aishver!
@infinitesimotel
@infinitesimotel 5 лет назад
Agreed. I had quite likely the worst, condescending, spiritless math teachers possible in this universe, and I made myself dumber just to spite them even though I wanted to like maths. I could have been unlucky every time, but they seemed to make everything as cumbersome, dull and confusing as is humanly possible in the most drawn out and information emaciated way. Just the kind of inspiring qualities one wants in an educator, right? I have to rewatch the video a couple of times because he is very fast and to the point but with no loss of information. Then the class are used to it being exposed to this teaching method all the time which tunes their minds up. Lucky are they.
@PlooshYT
@PlooshYT 5 лет назад
"McLogang", that is some genius punnery' right there.
@ZeZapasta
@ZeZapasta 11 лет назад
No I got it! Thanks again! :)
@yasminefanny
@yasminefanny 9 месяцев назад
thanks so much even 11 years later this video is still useful to me wow
@JackMeoff46
@JackMeoff46 6 лет назад
This video was short and clear,you're a great teacher
@brianmclogan
@brianmclogan 6 лет назад
thank you happy to be able to help
@brianmclogan
@brianmclogan 11 лет назад
add the exponents 3 + -1/2 = 6/2 + -1/2 = 5/2
@BZ29
@BZ29 3 года назад
so helpful!
@gurjantsingh-vi2de
@gurjantsingh-vi2de 2 года назад
Great work sir
@hi.996
@hi.996 Год назад
Sir,you changed my life Thank you so much
@ProfeJulianMacias
@ProfeJulianMacias Год назад
Thank you teacher. Great class
@maryanncalzada7505
@maryanncalzada7505 9 лет назад
Thank you! - A Very Grateful Parent! :-)
@brianmclogan
@brianmclogan 9 лет назад
Mary Ann Calzada you are very very welcome!
@sahibashakeel3370
@sahibashakeel3370 2 года назад
That was so damn quick and the way you teach is remarkable 👍👾 and a bunch of thanks for helping me out!
@brianmclogan
@brianmclogan 2 года назад
you are very welcome!!
@donka.
@donka. Год назад
thank you so much.
@taymel-fayoumi1362
@taymel-fayoumi1362 Год назад
Are both reciprocals multiplied at the end, or do you just simply get the reciprocal of the original number? Just wanna make sure I have it right. Thanks in advance.
@adamg623
@adamg623 11 лет назад
Helped me out so much
@elizabethst.george663
@elizabethst.george663 8 лет назад
This makes so much sense now thank you so much
@brianmclogan
@brianmclogan 8 лет назад
+Elizabeth St. George perfect! happy to be able to help you out!
@TheBalhamboy
@TheBalhamboy 9 лет назад
Very clear explanation. Many thanks :)
@brianmclogan
@brianmclogan 9 лет назад
Jason Thomas you are very welcome!
@garlenegarishgonzales6741
@garlenegarishgonzales6741 3 года назад
Thank you😘
@simplynorlyn
@simplynorlyn 3 года назад
Thank u sir ❤️❤️❤️ it helps...
@youranimesucks4722
@youranimesucks4722 3 года назад
Screw it, imma just watch all his videos to understand all the math in high school. He is too good
@user-me6gp4gx8g
@user-me6gp4gx8g 10 месяцев назад
thank you sir your a very great math teacher your explanations are great
@zoilachavarria109
@zoilachavarria109 4 года назад
Your really good at explaining this😭😭😭😭thank youuuuuu
@brianmclogan
@brianmclogan 11 лет назад
wish I could make it down, love Miami
@mynameissavannah1
@mynameissavannah1 11 лет назад
THANK YOU!!! im in summer school to do a math class real fast, and boy oh boy is it fast pace
@aiom2173
@aiom2173 2 года назад
Helped me more than my teacher could in 30 mins
@anamkhan1195
@anamkhan1195 3 года назад
excellent explanation sir
@MrCampman123
@MrCampman123 9 лет назад
Thanks a lot, really helped explain this.
@brianmclogan
@brianmclogan 9 лет назад
MrCampman123 awesome! happy to help
@DragonSlayer-kn2xe
@DragonSlayer-kn2xe 4 года назад
Thank you
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