125 to the negative 1/3 power = ? If you get this WRONG you don’t understand this!
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- Опубликовано: 24 окт 2024
- Evaluate a power with negative exponent not using a calculator.
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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
Or: 1/ cube root of 125 = 1/5 (the cube root of 125 = 5 (5 x 5 x 5 = 5^3 = 125).
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
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!
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,
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
Got it right; I would have been totally lost (even though I actually have a college degree in math!) because it's just been too long without your videos!
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.
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.
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"!
Thank you for being so calm and patient in your explanations. It really makes a difference with people.❤🎉
I got that one wrong. You cleared that up. Thanks.
Thanks for the help, man 😊
You're the best teacher on eBay keep doing
Not eBay I meant RUclips sorry
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.
There you are 👍
1000^1 = 1000
But 1000^-1 = 0.001 (reciprocal)
I like how you shown the concept
*YES*...... 3 second solution. Lucky Sunday in Fife Scotland
How about explaining mathematical negatives numbers that show up when a person is trying to figure out their tax form.
Dear Algebra please stop asking us to find your x. He’s not coming back.
And don’t ask y!
1/(cube root of 125)=1/5
1/cubert125 = 1/5
My thoughts exactly. The video's immediate recognition that 5^3 = 125 was an interesting touch though.
125-1/3= (125/3)=( ÷37/5)= 9/5
Just checking by way of review if I learned my lessons.
Indeed I did.
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
When does a negative power created or needed except in math tutorials?
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?
For this problem, we will use a simple angle of let’s say 40* degrees in relation to the base (100’).
I will look forward to your video on this if you are able to do it.
1/5
1/5, of course!! :)
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
1/5 or.2
Got it...good one. thanks
(5³)-⅓ = 5‐¹ = ⅕
Unfortunately, I never had teachers who gave me such good explanations as such, had to do my own studies.
(5^3)^(-1/3) ..... had trouble simplifying......
This one is going to be tougher to remember. 😢
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.
Why don’t you explain the origin of the rule instead of just stating the rule?
1/5 = 0.2
5
Gracias.
1/5. Took me 2 seconds. How long did it take you
My guess is -5
125 exp1/3 = 5
1/2
nope 1/5
Is it a coincidence that it is also 1 over 125 to the 1/3 power or 1 over the cube root of 125?
Yeah If a number ends with 0 or 5, it is divisible by 5
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.
Please make your explanation shorter
He talk too much as if he his in a class room in front of two dozen students
@@Blackcat-k9ethat'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.
If you want shorter explanations, seek another channel. This channel offers enough explanation for those who are totally "lost".
@@jamesharmon4994 we are not in a school class or his student
@@Blackcat-k9e Correct, you are here by choice and can leave at any time for any or no reason.
125^-3=5 but 125^-1/3=1/5.
The word "problem" has two syllables, not "prob"; also, the word "thorough" is pronounced "THUR-oh" -- not "THUR-ull"
I hear him saying "prom" rather than "prob" or the correct two syllable "problem", and yes, it bugs me too.
Relax. It's a math, not a diction channel.
.
*THUR-UH
I hear him saying "probm", but that is not a probm for me.
I make it 1/5 or 0.2
I'm still a math genius after all these years.
lets see 125 25 5 5 probably
nope ... did something wrong
1/5 but took a couple of seconds.
I just look at it as the cubic root of 1/125.
2 seconds .. 5
Not gonna try on this one... I clicked as I dunno how to do fractional exponants.
I just did that in my head in 15 seconds! 🥳
It took me a minute.
5 pangkat -1 sama dengan 1/5
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.
I came up with 1/5.
Just one sec question for a kid
Oh, how much talking used to finally get to the correct conclusion (=answer)!!
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!
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. 😊
-5 take the cube root and put a negative sign in front
No, that would be -(5^(1/3))
This is 5^(-1/3)
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.
Your like button is screwed up.
Thank you, but too much rambling.
The actual answer was 0.00266666666
You talk too much get to the point
Yes please make your explanation shorter You are great but ........
I came up with 76.25 which is sadly miles out
⅕ in about four seconds.
1/5
1/5
1/5
1/5
1/5
1/5
1/5
Racine cubic of 125 power négative one is 5 power negative one.This will give 1/5.Using indices law.