Use this rule: \(\sqrt{ab}=\sqrt{a}\sqrt{b}\).
\[\sqrt{81}\sqrt{{10}^{5}}\]
Since \(9\times 9=81\), the square root of \(81\) is \(9\).
\[9\sqrt{{10}^{5}}\]
Simplify \(\sqrt{{10}^{5}}\) to \({({10}^{5})}^{\frac{1}{2}}\).
\[9{({10}^{5})}^{\frac{1}{2}}\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[9\times {10}^{\frac{5}{2}}\]
Decimal Form: 2846.049894
9*10^(5/2)
