Question

Simplify the following using laws of indices:
$(0.25{)}^{0.5}\times (100{)}^{-1/2}$

Answer 1

Given, $(0.25{)}^{0.5}\times (100{)}^{-1/2}$

$=$ $\left(0.25{)}^{0.5}\right({10}^2{)}^{-1/2}$

$=$ $(0.25{)}^{0.5}\times (10{)}^{-1}$ Using $\left[\right(A^m{)}^n=A^{mn}]$

$=$ $(0.25{)}^{0.5}\times {10}^{-1}$

$=0.5\times 0.1$

$=0.05$