125 to the negative 1/3 power = ? If you get this WRONG you don’t understand this!

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Evaluate a power with negative exponent not using a calculator.
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Опубликовано:

10 сен 2023

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Комментарии : 110

@jamessmith8673 4 месяца назад

Miss you too mad men what you've been helping me learn as a 59 year old is at least I can carry on a conversation with my grandkids about mathematics that is invaluable

@youxkio 10 месяцев назад

when I reached the final part I had to go back to re-understand that step about decomposing the exponent. Thank you, professor. It really helps!

@davidg4288 10 месяцев назад

I just converted it to "one over the cube root of 125" and done. I did enjoy your alternate route to the answer, sometimes it's good to take the "scenic route"!

@russelllomando8460 10 месяцев назад

Got it...good one. thanks

@MrSeezero 5 месяцев назад

I don't want or mean to confuse anyone, but if you were to try to find -125 to the negative 1/3 power instead, then there are at least some "circles" of mathematics that would not consider -1/5 as that answer. The reason for this would be that for those "circles", the principal cube of a real number is technically the value that has the largest "positive" real value part of the three possible cube roots. If there is a tie (In this case, there actually is one.), then the one with the positive imaginary part would be considered the principal root. So, for those "circles", (-125)^(-1/3) would actually be equal to 1/10 + (sqrt(3)/10)i or (1/5)cos 60 degrees + ((1/5)sin 60 degrees)i.

@danieldennis9831 10 месяцев назад

1/5 a^-n=1/a^n and a^(1/3)=^3√a combine the two rules and you need the cube root of 1/125 .. 1/5

@batavuskoga 10 месяцев назад

First thing I did was 1/(125^1/3), 125^1/3 = 5, so the answer is 1/5. When you know the rules of powers it's not diicult at all. If I would be the teacher, someone wrote down 5^-1 as the final answer, he would get 2/10 from me, maybe 3/10. Just because you don't understand it completely,

@brocksprogramming 4 месяца назад

Thank you for being so calm and patient in your explanations. It really makes a difference with people.❤🎉

@devonwilson5776 10 месяцев назад

Greetings. To solve the problem without the use of a calculator all we need to know is that 125^-1/3 is the same as 1 divided by 125^1/3, that is 1 divided by 125 raised to the positive 1/3. This is the same thing as 1 divided by the cube root of 125 , and the result is 1/5 or 5 ^ -1, 5 raised to the minus 1.

@bigdog3628 Месяц назад

step one recognize the negative exponent. Problem becomes 1/125^(1/3) step two recognize that the exponent is a fraction. When this is the case the numerator of the exponent is a power and the denominator is the root. This means that the denominator of the problem is the ∛125¹ which of course is just ∛125. Step three recognize that 125 is a perfect cube which is written as 5 * 5 *5. Therefore the answer is 1/5

@user-dn5bi4si5w 9 месяцев назад

Gracias.

@devonwilson5776 10 месяцев назад

Greetings. The answer is 1/5. All we need to understand is that 125^-1/3 is the same thing as 1/125^1/3 or 1 divided by the cube root of 125 which gives the result of 1/5.

@frankjoiner7661 10 месяцев назад

When does a negative power created or needed except in math tutorials?

@seibertmccormick184 5 месяцев назад

I got that one wrong. You cleared that up. Thanks.

@williammckee6165 10 месяцев назад

what is the method of calculating the power of a number, starting with two then three, four ect and multiplying doing this with each number will take all day you don't have time to do this in an exam

@mkehammond7277 4 месяца назад

How about explaining mathematical negatives numbers that show up when a person is trying to figure out their tax form.

@aryusure1943 2 месяца назад

Just checking by way of review if I learned my lessons. Indeed I did.

@michaelmappin4425 10 месяцев назад

This one is going to be tougher to remember. 😢

@joshuawalton8179 10 месяцев назад

Look up a better explanation of the rule. It is easier to remember if you look a derivation of the rule. This a poor explanation of this topic.

@afre3398 10 месяцев назад

In this case you used the rule that If a number ends with 0 or 5, it is divisible by 5?? So if it had been 121 to the negative 1/3 power = ? it would not have been so easy to do without a calculator

@billywhyte6693 6 месяцев назад

*YES*...... 3 second solution. Lucky Sunday in Fife Scotland

@juhdah2146 8 месяцев назад

Unfortunately, I never had teachers who gave me such good explanations as such, had to do my own studies.

@jamessmith8673 4 месяца назад

You're the best teacher on eBay keep doing

@jamessmith8673 4 месяца назад

Not eBay I meant RU-vid sorry

@sirtango1 10 месяцев назад

Dear Algebra please stop asking us to find your x. He’s not coming back. And don’t ask y!

@randallgreen4084 10 месяцев назад

I'm going to guess 5 from pattern, but now I've got to watch the whole thing to see what it really is :) Welp, missed that it is 1/5, close but no cigar.

@Jack_rabbits_sage_brush 10 месяцев назад

I hate to ask this. I have a challenge for you. I have a hill on the other side of the canyon from where my home is at. I want to determine this distance to said hill using only trig to solve. I will use two objects (two nails driven into 2x4 blocks and create a rear site and front site posts) to determine a straight line shot towards said hill top. Then, I will go to my right, at a perfect right angle of 90* and use the same two site posts and line up another point from my location for a distance of 100’. Then I want to shoot towards that same hill from the new location and get the sine angle. Using this two measurements, can I get a pretty close measurement?

@Jack_rabbits_sage_brush 10 месяцев назад

For this problem, we will use a simple angle of let’s say 40* degrees in relation to the base (100’).

@Jack_rabbits_sage_brush 10 месяцев назад

I will look forward to your video on this if you are able to do it.

@timothymartin2137 10 месяцев назад

This is an ignorant problem....what are you trying to prove...that you can hijack someone elses thread? or that you remember trig (because it isnt all that hard) Any triangle can be described completely with two angles and one side PERIOD. You question would only stump a third grader!!

@jerry2357 8 месяцев назад

1/(cube root of 125)=1/5

@genelowry5666 10 месяцев назад

I make it 1/5 or 0.2

@oldschoollew 10 месяцев назад

(5^3)^(-1/3) ..... had trouble simplifying......

@jsand8301 10 месяцев назад

Is it a coincidence that it is also 1 over 125 to the 1/3 power or 1 over the cube root of 125?

@afre3398 10 месяцев назад

Yeah If a number ends with 0 or 5, it is divisible by 5

@TheSimCaptain 10 месяцев назад

No, because writing it down as the cube root of (1/125) is the same as writing the cube root of 1/ the cube root of 125. Remember that when you multiply fractions together, you multiply all the numerators together and then divide them by the denominators, which have also been multiplied together. It only appears a coincidence because the cube root of 1 is the same value as 1.

@alcorgarcia619 5 месяцев назад

I just did that in my head in 15 seconds! 🥳

@nellyjohnson7316 2 месяца назад

It took me a minute.

@joshuawalton8179 10 месяцев назад

Why don’t you explain the origin of the rule instead of just stating the rule?

@TheAZZA0990 Месяц назад

1/5, of course!! :)

@kennethwright870 3 месяца назад

1/5 or.2

@mylittlepitbull3143 8 месяцев назад

I'm still a math genius after all these years.

@harrymatabal8448 5 месяцев назад

1/5. Took me 2 seconds. How long did it take you

@bjornbjornson9359 9 месяцев назад

@STEAMerBear 10 месяцев назад

1/5

@safepethaven 10 месяцев назад

The word "problem" has two syllables, not "prob"; also, the word "thorough" is pronounced "THUR-oh" -- not "THUR-ull"

@Geoff_G 10 месяцев назад

I hear him saying "prom" rather than "prob" or the correct two syllable "problem", and yes, it bugs me too.

@jeanniecatton9168 10 месяцев назад

Relax. It's a math, not a diction channel. .

@Kyrelel 10 месяцев назад

*THUR-UH

@discobear5752 10 месяцев назад

I hear him saying "probm", but that is not a probm for me.

@user-ri6rn7ti5h 10 месяцев назад

125-1/3= (125/3)=( ÷37/5)= 9/5

@bobcornwell403 10 месяцев назад

I came up with 1/5.

@Joe_Narbaiz 9 месяцев назад

125^-3=5 but 125^-1/3=1/5.

@Maninawig 10 месяцев назад

Not gonna try on this one... I clicked as I dunno how to do fractional exponants.

@williamjames305 2 месяца назад

125 exp1/3 = 5

@kennethwright870 10 месяцев назад

1/cubert125 = 1/5

@davidg4288 10 месяцев назад

My thoughts exactly. The video's immediate recognition that 5^3 = 125 was an interesting touch though.

@alessioandreoli2145 10 месяцев назад

1/5 but took a couple of seconds.

@Kyrelel 10 месяцев назад

2 seconds .. 5

@vineyanand-ed7hg 3 дня назад

Just one sec question for a kid

@dngrwllrbnsn_ 7 месяцев назад

My guess is -5

@alricmcclarty3528 7 месяцев назад

1/5 = 0.2

@johnnyllooddte3415 10 месяцев назад

lets see 125 25 5 5 probably

@johnnyllooddte3415 10 месяцев назад

nope ... did something wrong

@lucianaulestari6222 4 месяца назад

5 pangkat -1 sama dengan 1/5

@deograciousuwiragiye8429 Месяц назад

1/2

@bigdog3628 Месяц назад

nope 1/5

@trix3185 10 месяцев назад

I just look at it as the cubic root of 1/125.

@84com83 10 месяцев назад

Oh, how much talking used to finally get to the correct conclusion (=answer)!!

@nattymam 10 месяцев назад

Please make your explanation shorter

@user-dd2xv3yv7m 10 месяцев назад

He talk too much as if he his in a class room in front of two dozen students

@Maninawig 10 месяцев назад

@@user-dd2xv3yv7mthat's kinda his shtick. He is a math teacher and this is his classroom. Faster students get bored, but this method helps all students follow the assignment.

@jamesharmon4994 10 месяцев назад

If you want shorter explanations, seek another channel. This channel offers enough explanation for those who are totally "lost".

@user-dd2xv3yv7m 10 месяцев назад

@@jamesharmon4994 we are not in a school class or his student

@jamesharmon4994 10 месяцев назад

@@user-dd2xv3yv7m Correct, you are here by choice and can leave at any time for any or no reason.

@leftovertech 10 месяцев назад

For the first 10 seconds, one section of my brain was searching specific rules about exponents. Fortunately, a different section of my brain said "Hey, cube root" at the seven second mark and before things got out of hand. Therefor, no brain cells were (seriously) injured during this video. 😊

@olenfersoi8887 7 месяцев назад

I'm kind of addicted to these videos, but you talk so much it drives me crazy. You could have shortened this video to just giving the exponent rules: ...that the negative exponent makes the answer a fraction, and the fractional part of the exponent makes it a root instead of a power.

@stevenjohnson1143 10 месяцев назад

-5 take the cube root and put a negative sign in front

@scmtuk3662 10 месяцев назад

No, that would be -(5^(1/3)) This is 5^(-1/3)

@ModernGolfer 10 месяцев назад

I like the channel, but in some cases (like this one) the Instructor gets WAY too far off track providing multiple examples that are not part of the equation, l-o-n-g ramblings into irrelevant thoughts. Apparently, just to make the video longer. Please provide the relevant information first, then re-hash with other examples with gives the viewer a chance to USE the information being taught. Thanks!

@robertmorrell1073 10 месяцев назад

Thank you, but too much rambling.

@afifakhan9817 10 месяцев назад

The actual answer was 0.00266666666

@b213videoz 2 месяца назад

(5³)-⅓ = 5‐¹ = ⅕

@winstoncoppin2431 10 месяцев назад

You talk too much get to the point

@nestorrego1220 10 месяцев назад

Yes please make your explanation shorter You are great but ........

@johnnymuscles2767 10 месяцев назад

I came up with 76.25 which is sadly miles out

@timothymartin2137 10 месяцев назад

YOU said the rule for negative exponents was to flip the fraction...THEN DIDNT USE THAT METHOD AT ALL...THAT METHOD would have netted you 1/125^(1/3)...and then just took the cube root of the problem (because THAT is what the fractional exponent means....like 1/2 would be square root and so on...much simpler than turning the 125 into its cube root FOR NO REAL APPARENT REASON other than you knew that is where the problem was going...see what I am getting at...your solution was in search of a question to kick it off...while mine is to the problem stated using the rules you have been discussing (with the exception of the fractional exponents being roots...you didnt really go over that...I remember THAT one all on my own...aint life grand...at 56 too!!)

@scmtuk3662 10 месяцев назад

I've never understood these channels that take 17 minutes just to explain (relatively) simple things that could be explained in just a short 1 minute video. I'm surprised they haven't made a video about 1 + 1 It'd be like this: 1 + 1 = (1 * 1) + (1 * 1) = 1² + 1² = (1 * 1)² + (1 * 1)² = ((1² * 1)²) + (1 * 1²)²) = *10 minutes later* (1 * ((1² * 1)²) * 1)² + √(1 * 1³ * √1 * (1(√1⁷) * 1⁶⁹⁴²⁰) * 1) .... = 2

@vikingz2000 10 месяцев назад

@@scmtuk3662 You fail to understand that not everyone has the same depth of math acumen as you do. This is obviously not your level and so you need to move on (up he latter).

@timothymartin2137 10 месяцев назад

Content providers get paid by the minute...thats why!!!!@@scmtuk3662

@davidg4288 10 месяцев назад

He took us on the scenic route, that's OK with me.

@timothymartin2137 10 месяцев назад

yeah..but he ignored several basic rules to do it@@davidg4288