## vivalakoda 2 years ago Help with exponents?

1. vivalakoda

x$(x^{4})^{3/5}$

yes...

3. vivalakoda

Ignore the first x.

power on power will be multiplied

5. vivalakoda

I do not understand?

4*3/5=12/5

7. Australopithecus

Use the rules $x^3 = x(x)x$ $(x^3)^3 = (x^3)(x^3)(x^3)$

8. Australopithecus

$(x^3)(x^3) = x^6$

9. vivalakoda

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

10. Australopithecus

$(x^3)^3 = (x^3)(x^3)(x^3) = x^9$ 3*3 = 9 3 + 3 + 3 = 9

11. Australopithecus

look at my example and think about it

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

13. vivalakoda

I understand that you add the exponents when multiplying exponents

14. Australopithecus

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

yes just multiply exponents.

16. Australopithecus

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

17. vivalakoda

Why are you using 3/4?

18. 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

19. vivalakoda

I know how to do all of that, though.

20. Australopithecus

so what is your problem?

21. Australopithecus

exactly?

22. vivalakoda

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

23. Australopithecus

well can you show your work?

24. Australopithecus

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

25. Australopithecus

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

26. Australopithecus

show me the answer you are getting

27. vivalakoda

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

28. vivalakoda

in*

29. vivalakoda

after that i am clueless

30. Australopithecus

looks right

31. vivalakoda

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

32. Australopithecus
33. Australopithecus

you cant simplify 12/5

34. Australopithecus

Email your instructor it is obviously a mistake on the site

35. Australopithecus

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

36. Australopithecus

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

37. vivalakoda

Ok. Thank-you for your time!