Question

Simplify $\frac{7^{-5}\times {10}^{-5}\times 75}{5^{-7}\times (14{)}^{-5}}$

Answer 1

$\frac{7^{-5}\times {10}^{-5}\times 75}{5^{-7}\times {14}^{-5}}=\frac{5^7\times {14}^5\times 75}{7^5\times {10}^5}$

$=\frac{5^7\times 2^5\times 7^5\times 5^2\times 3}{7^5\times 2^5\times 5^5}$

$=\frac{5^4\times 3}{1}$

$=1875$