Question

Find the radical equivalent of 272/3 and compute it.

Answer 1

This is what I had figured out.

27^(2/3) = [cube root (27)]^2 = 3^2 = 9


The final answer to the expression is 9.

Answer 2

Answer: The radical equivalent of
`27^{(2)/(3)` = 9.

Explanation:

Since we have given that

`27^{(2)/(3)`

We need to find the radical equivalent to it

We will use the "exponential law" .

`(a^m)^(1)/(n)=a^{(m)/(n)}`

So, it becomes,

`[(27)^(1)/(3)]^2\\\\=[(3^3)^{(1)/(3)}]^2\\\\=[3^(3)/(3)]^2\\\\=3^2\\\\=9`

Hence, the radical equivalent of
`27^{(2)/(3)` = 9.