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Mathematics 13 Online
OpenStudy (anonymous):

Help with exponents?

OpenStudy (anonymous):

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

OpenStudy (anonymous):

yes...

OpenStudy (anonymous):

Ignore the first x.

OpenStudy (anonymous):

power on power will be multiplied

OpenStudy (anonymous):

I do not understand?

OpenStudy (anonymous):

4*3/5=12/5

OpenStudy (australopithecus):

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

OpenStudy (australopithecus):

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

OpenStudy (anonymous):

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

OpenStudy (australopithecus):

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

OpenStudy (australopithecus):

look at my example and think about it

OpenStudy (anonymous):

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

OpenStudy (anonymous):

I understand that you add the exponents when multiplying exponents

OpenStudy (australopithecus):

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

OpenStudy (anonymous):

yes just multiply exponents.

OpenStudy (australopithecus):

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

OpenStudy (anonymous):

Why are you using 3/4?

OpenStudy (australopithecus):

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

OpenStudy (anonymous):

I know how to do all of that, though.

OpenStudy (australopithecus):

so what is your problem?

OpenStudy (australopithecus):

exactly?

OpenStudy (anonymous):

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

OpenStudy (australopithecus):

well can you show your work?

OpenStudy (australopithecus):

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

OpenStudy (australopithecus):

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

OpenStudy (australopithecus):

show me the answer you are getting

OpenStudy (anonymous):

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

OpenStudy (anonymous):

in*

OpenStudy (anonymous):

after that i am clueless

OpenStudy (australopithecus):

looks right

OpenStudy (anonymous):

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

OpenStudy (australopithecus):

https://www.wolframalpha.com/input/?i=%28x^4%29^%283%2F5%29

OpenStudy (australopithecus):

you cant simplify 12/5

OpenStudy (australopithecus):

Email your instructor it is obviously a mistake on the site

OpenStudy (australopithecus):

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

OpenStudy (australopithecus):

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

OpenStudy (anonymous):

Ok. Thank-you for your time!

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