Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[6{(\sqrt{324}\sqrt{a})}^{2}{\sqrt{64b}}^{2}\]
Since \(18\times 18=324\), the square root of \(324\) is \(18\).
\[6{(18\sqrt{a})}^{2}{\sqrt{64b}}^{2}\]
Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[6{(18\sqrt{a})}^{2}{(\sqrt{64}\sqrt{b})}^{2}\]
Since \(8\times 8=64\), the square root of \(64\) is \(8\).
\[6{(18\sqrt{a})}^{2}{(8\sqrt{b})}^{2}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[6\times {18}^{2}{\sqrt{a}}^{2}{(8\sqrt{b})}^{2}\]
Simplify \({18}^{2}\) to \(324\).
\[6\times 324{\sqrt{a}}^{2}{(8\sqrt{b})}^{2}\]
Use this rule: \({\sqrt{x}}^{2}=x\).
\[6\times 324a{(8\sqrt{b})}^{2}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[6\times 324a\times {8}^{2}{\sqrt{b}}^{2}\]
Simplify \({8}^{2}\) to \(64\).
\[6\times 324a\times 64{\sqrt{b}}^{2}\]
Use this rule: \({\sqrt{x}}^{2}=x\).
\[6\times 324a\times 64b\]
Simplify.
\[124416ab\]
124416*a*b
