Let . Answer the…

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

Problem

Let

A = \dfrac{5^{3}\times 2^{-4}}{10^{-2}\times 5^{-1}}

. Answer the following: (i) Rewrite each power in

A

with a positive exponent. (ii) Simplify step by step to obtain a single power of

2

multiplied by a single power of

5

. (iii) Calculate the numerical value of

A

and express your answer in standard form (scientific notation).