Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[\frac{{4}^{2}{({a}^{2})}^{2}}{12a}\]
Simplify \({4}^{2}\) to \(16\).
\[\frac{16{({a}^{2})}^{2}}{12a}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\frac{16{a}^{4}}{12a}\]
Take out the constants.
\[\frac{16}{12}\times \frac{{a}^{4}}{a}\]
Simplify \(\frac{16}{12}\) to \(\frac{4}{3}\).
\[\frac{4}{3}\times \frac{{a}^{4}}{a}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[\frac{4{a}^{4-1}}{3}\]
Simplify \(4-1\) to \(3\).
\[\frac{4{a}^{3}}{3}\]
(4*a^3)/3
