Question

Which of the following represents eighth root of x cubed in exponential form?

Answer 1

Here's a start:
\[\sqrt[8]{x^{3}} = (x^{3})^{\frac{ 1 }{ 8 }}\]

Answer 2

so would this be the answer x to the 8 thirds power

Answer 3

??

Answer 4

why eight thirds?

when you have exponents like this, you multiply the exponents.
\[(x^{a})^{b} = x^{ab}\]

Answer 5

so it would be ?

Answer 6

so if a was 3 and b was (1/8), then x^ab would be x^(3/8)
\[(x^{3})^{\frac{ 1 }{ 8 }} = x^{\frac{ 3 }{ 8 }}\]