Question

Find the cube root of :

$2^{\frac{10}{27}}$

• A. $2^{\frac{1}{27}}$
• B. $2^{\frac{10}{81}}$
• C. $2^{\frac{5}{9}}$
• D. None of these
  

Answer 1

Answer: (B)

$2^{\frac{10}{81}}$

Cube root of $\left(2^{\frac{10}{27}}\right)$ is

$(2^{\frac{10}{27}}{)}^{\frac{1}{3}}$

$=2^{\frac{10}{81}}$