Consider the expression

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

Problem

\dfrac{3^{-2}\times 9^{3}}{27^{-2}}

. Answer the following: (i) Rewrite each power with base

3

. (ii) Simplify the expression to obtain a single power of

3

. (iii) Find the numerical value of the simplified expression.