Question

8/27 whole raised to 1/3

Answer 1

Given

We have

$(\frac{8}{27})^{\frac{1}{3}}$

Required

we need to find its value

Explanation

here we know that when basis are same powers are added

$(\frac{8}{27})^{\frac{1}{3}}=(\frac{2\times2\times2}{3\times3\times3})^{\frac{1}{3}}=(\frac{2^3}{3^3})^{\frac{1}{3}}=\frac{2^{3\times\frac{1}{3}}}{3^{3\times\frac{1}{3}}}=\frac{2}{3}$

so the required answer is

$\frac{2}{3}$