anonymous
  • anonymous
Help with exponents?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
x\[(x^{4})^{3/5}\]
anonymous
  • anonymous
yes...
anonymous
  • anonymous
Ignore the first x.

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anonymous
  • anonymous
power on power will be multiplied
anonymous
  • anonymous
I do not understand?
anonymous
  • anonymous
4*3/5=12/5
Australopithecus
  • Australopithecus
Use the rules \[x^3 = x(x)x\] \[(x^3)^3 = (x^3)(x^3)(x^3)\]
Australopithecus
  • Australopithecus
\[(x^3)(x^3) = x^6\]
anonymous
  • anonymous
I'm confused because my answer choices aren't any thing I am getting, or anything like that. They have square roots
Australopithecus
  • Australopithecus
\[(x^3)^3 = (x^3)(x^3)(x^3) = x^9\] 3*3 = 9 3 + 3 + 3 = 9
Australopithecus
  • Australopithecus
look at my example and think about it
anonymous
  • anonymous
see this (x^2)^2 will x^4 i multiplied 2 with 2 for getting answer.
anonymous
  • anonymous
I understand that you add the exponents when multiplying exponents
Australopithecus
  • Australopithecus
look at my example though, once you understand why it is true you will be able to solve your answer very easily
anonymous
  • anonymous
yes just multiply exponents.
Australopithecus
  • Australopithecus
do you know how to multiply fractions? \[\frac{3}{4}*5 = \frac{3}{4}(\frac{5}{1 }) = \frac{3*5}{4*1} = \frac{3*5}{4} = \frac{15}{4}\]
anonymous
  • anonymous
Why are you using 3/4?
Australopithecus
  • 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
anonymous
  • anonymous
I know how to do all of that, though.
Australopithecus
  • Australopithecus
so what is your problem?
Australopithecus
  • Australopithecus
exactly?
anonymous
  • anonymous
All of the answers I'm getting are far from right. I'm really not sure what exactly I'm doing wrong
Australopithecus
  • Australopithecus
well can you show your work?
Australopithecus
  • Australopithecus
I can look it over for you and tell you where you are going wrong
Australopithecus
  • Australopithecus
there isn't any trick to this problem, when you have \[(x^3)^3 = x^9\] \[(x^2)^{1/2} = x^{2\frac{1}{2}} = x^1 = x\] \[(x^5)^{3} = x^{5*3} = x^{15}\]
Australopithecus
  • Australopithecus
show me the answer you are getting
anonymous
  • anonymous
\[(x^{4})^{3/5}\] = \[x^{4/1} * ^{3/5}\] = multiplied the fraction, got x^12/5 thenhad to put it ion radical form: \[\sqrt[5]{x}^{12}\]
anonymous
  • anonymous
in*
anonymous
  • anonymous
after that i am clueless
Australopithecus
  • Australopithecus
looks right
anonymous
  • anonymous
I know I'm on the right track. But I don't know what else to do, do I simplify the x^12?
Australopithecus
  • Australopithecus
https://www.wolframalpha.com/input/?i=%28x^4%29^%283%2F5%29
Australopithecus
  • Australopithecus
you cant simplify 12/5
Australopithecus
  • Australopithecus
Email your instructor it is obviously a mistake on the site
Australopithecus
  • Australopithecus
In the future it might help to post the answer you got in the question.
Australopithecus
  • Australopithecus
or you can always use wolframalpha to check your answers :)
anonymous
  • anonymous
Ok. Thank-you for your time!

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