Answer the following questions related to roots and fractional exponents.

MATHEMATICS · Multi-part · CBSE · Mathematics · Power Play · Power Play

Problem

Answer the following questions related to roots and fractional exponents. (i) Define the

n

th root of a positive real number. (ii) Rewrite

\sqrt[4]{81}

in exponential form and verify that both forms give the same numerical value. (iii) If

x^{3/2}=27

, express the equation in radical form and determine the value of

x

, showing each step clearly.