Question

Simplify and evaluate :
${\left(0.01\right)}^2\times {\left(0.001\right)}^{\frac{4}{3}}\times {\left(0.0001\right)}^{-\frac{5}{2}}÷{\left(100\right)}^{-\frac{1}{2}}$

Answer 1

${\left(0.01\right)}^2\times {\left(0.001\right)}^{\frac{4}{3}}\times {\left(0.0001\right)}^{-\frac{5}{2}}÷{\left(100\right)}^{-\frac{1}{2}}$
$=\frac{{10}^{-4}\times ({10}^{-3}{)}^{4/3}\times ({10}^{-4}{)}^{-5/2}}{({10}^2{)}^{-1/2}}$
$={10}^{-4-4+10-(-1)}={10}^3$