$(3\sqrt{54}) $^{4}$ $

asked by guest
on Nov 12, 2024 at 10:40 pm



You asked:

Evaluate the expression: \({\left( 3 \cdot \sqrt{54} \right)}^{4}\)

MathBot Answer:

\[{\left( 3 \cdot \sqrt{54} \right)}^{4} = 236196\]


\[\begin{aligned}{\left( 3 \cdot \sqrt{54} \right)}^{4}& = \left(3 \cdot \sqrt{54}\right)^{4}\\& = \left(3 \cdot 3 \cdot \sqrt{6}\right)^{4}\\& = \left(9 \cdot \sqrt{6}\right)^{4}\\& = 236196\end{aligned}\]