Question

Simplify the following expression:
1/ (\sqrt[3]{x^2})

That is a cube root with the argument x^2 in the denominator.

ATTEMPT: Is it not:
1/ (x^2*\sqrt[3]{x^2}) ?

Answer 1

\[1/\sqrt[3]{x ^{2}}=1/((x^2)^{1/3})=1/x ^{2/3}\]

Answer 2

or maybe more simply: \[x ^{-2/3}\]