Question

Find the value of $m$ for which $5^m{5}^3=5^5$.

Answer 1

$5^m{5}^3=5^5$

By laws of indices,

$a^m\times a^n=a^{m+n}$

$5^{m+3}=5^5$

Comparing the powers when bases are the same.
$m+3=5$
$\Rightarrow m=2$