Question

$$433 \sqrt{ { \left( { 6 }^{ 2 } \right) }^{ 2 } }$$

Answer

15588

Solution


Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[433\sqrt{{6}^{4}}\]
Simplify  \(\sqrt{{6}^{4}}\)  to  \({6}^{2}\).
\[433\times {6}^{2}\]
Simplify  \({6}^{2}\)  to  \(36\).
\[433\times 36\]
Simplify.
\[15588\]