Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\frac{{3}^{6}\times {5}^{2}}{{9}^{2}\times 5}\]
Simplify \({3}^{6}\) to \(729\).
\[\frac{729\times {5}^{2}}{{9}^{2}\times 5}\]
Simplify \({9}^{2}\) to \(81\).
\[\frac{729\times {5}^{2}}{81\times 5}\]
Simplify \(81\times 5\) to \(405\).
\[\frac{729\times {5}^{2}}{405}\]
Simplify \({5}^{2}\) to \(25\).
\[\frac{729\times 25}{405}\]
Simplify \(729\times 25\) to \(18225\).
\[\frac{18225}{405}\]
Simplify.
\[45\]
45
