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 $27^{\frac{2}{3}$ = 9.

Step-by-step explanation:

Since we have given that

$27^{\frac{2}{3}$

We need to find the radical equivalent to it

We will use the "exponential law" .

$(a^m)^\frac{1}{n}=a^{\frac{m}{n}}$

So, it becomes,

$[(27)^\frac{1}{3}]^2\\\\=[(3^3)^{\frac{1}{3}}]^2\\\\=[3^\frac{3}{3}]^2\\\\=3^2\\\\=9$

Hence, the radical equivalent of $27^{\frac{2}{3}$ = 9.