Question

Simiplify (x^5/8)^2/3.

Answer 1

\[(x ^{5/8})^{2/3}\]

Answer 2

It is a rule that when you have a power of a power like that you multiply the exponents together.

For example: (x^2)^3 = x^6

(I hope I used the terminology correctly)

Answer 3

So i multiply the numerator and denominator then simplify from there?

Answer 4

in this case the exponents are both fractions. so you are multiplying two fractions together. do you know how to do that?

Answer 5

yeah. think i got it.

Answer 6

what did you get?

Answer 7

x^5/12?

Answer 8

sorry for the long wait, I was trying to use some software to make it look nice.

But what you are doing is multiplying (5/8) and (2/3)

Your answer is x to the power of that number

Answer 9

It would be (10/24) right?

Answer 10

yes, x^(10/24)

but you can reduce this if you want to

Answer 11

yeah to 5/12

Answer 12

yes!

Answer 13

kk thx

Answer 14

no problem