Question

Find the value of $\frac{3^5\times {10}^5\times 25}{5^7\times 6^5}$

Answer 1

Let $a=\frac{3^5\times {10}^5\times 25}{5^7\times 6^5}$

$=\frac{3^5\times (2.5{)}^5\times 5^2}{5^7\times (2.3{)}^5}$

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

$=\frac{5^{5+2}}{5^7}$

$=\frac{5^7}{5^7}$

$a=1$

$\therefore \frac{3^5\times {10}^5\times 25}{5^7\times 6^5}=1$