Question

If $5^a={25}^5$ then $a$ is equal to

Answer 1

Given : $5^a={25}^5$

$\Rightarrow 5^a={\left(5^2\right)}^5$

$\Rightarrow 5^a=5^{10}$

Equating the powers with the same base, we get

$\therefore a=10$