To confirm that for

MATHEMATICS · Single correct · CBSE · Mathematics · Number Systems · Number Systems

Problem

To confirm that

\sqrt[5]{a^{2}}=a^{\frac{2}{5}}

for

a>0

, which of the following equations must be true? (a)

(a^{\frac{2}{5}})^{2}=a^{5}

(b)

(a^{2})^{\frac{1}{5}}=a^{\frac{5}{2}}

(c)

(a^{\frac{2}{5}})^{5}=a^{2}

(d)

(a^{\frac{2}{5}})^{5}=a^{\frac{27}{5}}