Question

Simplify: ${\left(\frac{0.2}{5}\right)}^4\times {\left(\frac{2}{0.5}\right)}^{-3}$

Answer 1

You may simplify the two fractions separately. Thus
$\left(\frac{0.2}{5}\right)=\frac{1}{5^2},\left(\frac{2}{0.5}\right)=2\times 2=2^2$
Thus the expression simplifies tos
${\left(\frac{1}{5^2}\right)}^4\times {\left(2^2\right)}^{-3}=\frac{1}{5^8\times 2^6}=\frac{1}{5^2\times {10}^6}=0.00000004$