Question

If $15625=(x{)}^2=5^{\left(y\right)}$ . Find the value of $x$ and $y$.

Answer 1

$15,625=(x{)}^2=5^{\left(y\right)}$
Prime factorisation of:
$15,625=5\times 5\times 5\times 5\times 5\times 5=5^6={\left(5^3\right)}^2$
$={125}^2$
$\Rightarrow x=125$
$\Rightarrow y=6$