Complete the following proof for to show that .

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

Problem

Complete the following proof for

a>0

to show that

(\sqrt[4]{a})^3 = a^{3/4}

. (i) Rewrite

\sqrt[4]{a}

in exponent form. (ii) Using your answer from part (i), express

(\sqrt[4]{a})^3

in exponent form and simplify.