Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[\frac{{({m}^{6})}^{4}{b}^{4}}{{({m}^{10}{b}^{2})}^{2}}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\frac{{m}^{24}{b}^{4}}{{({m}^{10}{b}^{2})}^{2}}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[\frac{{m}^{24}{b}^{4}}{{({m}^{10})}^{2}{({b}^{2})}^{2}}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\frac{{m}^{24}{b}^{4}}{{m}^{20}{({b}^{2})}^{2}}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\frac{{m}^{24}{b}^{4}}{{m}^{20}{b}^{4}}\]
Cancel \({b}^{4}\).
\[\frac{{m}^{24}}{{m}^{20}}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[{m}^{24-20}\]
Simplify \(24-20\) to \(4\).
\[{m}^{4}\]
m^4
