Question

Solve:$\frac{2^{-3}\times 5^{-3}\times {10}^2\times 25}{5^4\times 2^{-5}}$

Answer 1

$\frac{2^{-3}\times 5^{-3}\times {10}^2\times 25}{5^4\times 2^{-5}}=\frac{2^{-3}\times 5^{-3}\times {(2\times 5)}^2\times 5^2}{5^4\times 2^{-5}}$

$=2^{-3}\times 2^2\times 2^5\times 5^{-3}\times 5^2\times 5^2\times 5^{-4}=2^4\times 5^{-3}=\frac{2^4}{5^3}=\frac{16}{125}$