Question

Evaluate: $\frac{8^{-1}\times 5^3}{2^{-4}}$.

Answer 1

$\begin{array}{c}\frac{8^{-1}\times 5^3}{2^{-4}}\\ =\frac{2^{-3}\times 5^3}{2^{-4}}\\ =2^{-3+4}\times 5^3\left[\because a^x\times b^y=a^{x+y}\right]\\ =2^1\times 5^3\\ =2\times 125=250Ans.\end{array}$