Question

Solve the given expression
$\frac{3^5\times {10}^5\times 25}{5^7\times 6^5}$

Answer 1

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

$(\because (ab{)}^m=a^m{b}^m$ $\because a^m.a^n=a^{m+n})$

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

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

=1