Question

Simplify:
$\frac{3^5\times {10}^5\times 25}{5^7\times 6^5}$

Answer 1

$\frac{3^5\times {10}^5\times 25}{5^7\times 6^5}=\frac{3^5\times (2\times 5{)}^5\times 5\times 5}{5^7\times (2\times 3{)}^5}=\frac{3^5\times 2^5\times 5^5\times 5^2}{5^7\times 2^5\times 3^5}=\frac{3^5\times 2^5\times 5^{5+2}}{5^7\times 2^5\times 3^5}=\frac{3^5\times 2^5\times 5^7}{5^7\times 2^5\times 3^5}=3^{5-5}\times 2^{5-5}\times 5^{7-7}=3^0\times 2^0\times 5^0=1\times 1\times 1=1$