Question

Solve : $\frac{3^{-5}\times {10}^{-5}\times 125}{5^{-7}\times 6^{-5}}$

Answer 1

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

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

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

$=3^{-5+5}\times 2^{-5+5}\times 5^{-5+3+7}$

$=3^0\times 2^0\times 5^5$

$=5^5=3125$