Simplify \(\frac{75}{5}\) to \(15\).
\[{15}^{3}\times \frac{{({9}^{2})}^{2}}{{5}^{2}-{4}^{2}}\]
Simplify \({5}^{2}\) to \(25\).
\[{15}^{3}\times \frac{{({9}^{2})}^{2}}{25-{4}^{2}}\]
Simplify \({4}^{2}\) to \(16\).
\[{15}^{3}\times \frac{{({9}^{2})}^{2}}{25-16}\]
Simplify \(25-16\) to \(9\).
\[{15}^{3}\times \frac{{({9}^{2})}^{2}}{9}\]
Simplify \({15}^{3}\) to \(3375\).
\[3375\times \frac{{({9}^{2})}^{2}}{9}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[3375\times \frac{{9}^{4}}{9}\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{3375\times {9}^{4}}{9}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[3375\times {9}^{4-1}\]
Simplify \(4-1\) to \(3\).
\[3375\times {9}^{3}\]
Simplify \({9}^{3}\) to \(729\).
\[3375\times 729\]
Simplify.
\[2460375\]
2460375
