Question

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

Answer 1

From my research, the question is actually looking for the radical equivalent of 27^(2/3). Let us solve this below:

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

Therefore, the final answer to the expression is 9.

Answer 2

Answer: The radical equivalent of $27^{\frac{2}{3}}$ is 9.

Step-by-step explanation:

Since we have given that

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

We need to find the radical equivalent.

so, we will use the "Exponential law":

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

so, it becomes,

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

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