Question

Find the cube root of :

$\left(4^{\frac{17}{24}}\right)$

• A. $4^{\frac{17}{48}}$
• B. $4^{\frac{17}{36}}$
• C. $2^{\frac{17}{48}}$
• D. $2^{\frac{17}{36}}$

Answer 1

Answer: (D)

$2^{\frac{17}{36}}$

Cube root of $\left(4^{\frac{17}{24}}\right)$ is

$(4^{\frac{17}{24}}{)}^{\frac{1}{3}}$

$=2^{2\times \frac{17}{72}}$

$=2^{\frac{17}{36}}$