Question

Simplify.

$\frac{3^{-5}\times {10}^{-5}\times 125}{5^{-7}\times 6^{-5}}$ is $m^5$

The value of $m$ is

Answer 1

$\frac{3^{-5}\times {10}^{-5}\times 125}{5^{-7}\times 6^{-5}}$
= $\frac{6^5\times 5^7\times 125}{3^5\times {10}^5}$
= $\frac{3^5\times 2^5\times 5^7\times 5^3}{3^5\times 5^5\times 2^5}$
= $5^{7+3-5}$
= $5^5$