Question

Given $(-3{)}^4\times {\left(\frac{5}{3}\right)}^4$ = $5^m$. The value of $m$ is

Answer 1

$(-3{)}^4\times {\left(\frac{5}{3}\right)}^4=(-1{)}^4\times 3^4\times \frac{5^4}{3^4}$
$=1\times 3^{4-4}\times 5^4$
$=3^0\times 5^4$
$=1\times 5^4=5^4$