vivalakoda
Help with exponents?



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vivalakoda
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x\[(x^{4})^{3/5}\]

muhammad9t5
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yes...

vivalakoda
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Ignore the first x.

muhammad9t5
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power on power will be multiplied

vivalakoda
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I do not understand?

muhammad9t5
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4*3/5=12/5

Australopithecus
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Use the rules
\[x^3 = x(x)x\]
\[(x^3)^3 = (x^3)(x^3)(x^3)\]

Australopithecus
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\[(x^3)(x^3) = x^6\]

vivalakoda
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I'm confused because my answer choices aren't any thing I am getting, or anything like that. They have square roots

Australopithecus
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\[(x^3)^3 = (x^3)(x^3)(x^3) = x^9\]
3*3 = 9
3 + 3 + 3 = 9

Australopithecus
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look at my example and think about it

muhammad9t5
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see this (x^2)^2 will x^4 i multiplied 2 with 2 for getting answer.

vivalakoda
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I understand that you add the exponents when multiplying exponents

Australopithecus
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look at my example though, once you understand why it is true you will be able to solve your answer very easily

muhammad9t5
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yes just multiply exponents.

Australopithecus
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do you know how to multiply fractions?
\[\frac{3}{4}*5 = \frac{3}{4}(\frac{5}{1 }) = \frac{3*5}{4*1} = \frac{3*5}{4} = \frac{15}{4}\]

vivalakoda
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Why are you using 3/4?

Australopithecus
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I'm showing you examples of fraction multiplication, I'm not going to solve your problem for you, but I will teach you how to solve it

vivalakoda
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I know how to do all of that, though.

Australopithecus
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so what is your problem?

Australopithecus
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exactly?

vivalakoda
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All of the answers I'm getting are far from right. I'm really not sure what exactly I'm doing wrong

Australopithecus
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well can you show your work?

Australopithecus
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I can look it over for you and tell you where you are going wrong

Australopithecus
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there isn't any trick to this problem, when you have
\[(x^3)^3 = x^9\]
\[(x^2)^{1/2} = x^{2\frac{1}{2}} = x^1 = x\]
\[(x^5)^{3} = x^{5*3} = x^{15}\]

Australopithecus
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show me the answer you are getting

vivalakoda
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\[(x^{4})^{3/5}\]
=
\[x^{4/1} * ^{3/5}\]
=
multiplied the fraction, got x^12/5
thenhad to put it ion radical form: \[\sqrt[5]{x}^{12}\]

vivalakoda
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in*

vivalakoda
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after that i am clueless

Australopithecus
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looks right

vivalakoda
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I know I'm on the right track. But I don't know what else to do, do I simplify the x^12?


Australopithecus
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you cant simplify 12/5

Australopithecus
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Email your instructor it is obviously a mistake on the site

Australopithecus
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In the future it might help to post the answer you got in the question.

Australopithecus
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or you can always use wolframalpha to check your answers :)

vivalakoda
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Ok. Thankyou for your time!