Question

Write the expression in exponential form. (Cube root of a)^2

Answer 1

Answer:
`a^{(2)/(3)}`

Explanation:

If the nth root of a is a real number, m is an integer, and
`(m)/(n)` is in lowest terms, then
`(1)/(a^(n))` =
`\sqrt[n]{a}` and
`a^{(m)/(n) }` =
`\sqrt[n]{a^(m) }` =
`(\sqrt[n]{a} )^(m) .`

Answer 2

`( \sqrt[3]{a} )^2= \sqrt[3]{a^2}=a^ (2)/(3)`

Answer is D