(3*2^2)^-2

asked by guest
on Jan 23, 2025 at 8:02 am



You asked:

Evaluate the expression: \({\left( 3 \cdot {2}^{2} \right)}^{-2}\)

MathBot Answer:

\[{\left( 3 \cdot {2}^{2} \right)}^{-2} = \frac{1}{144} = 0.0069\overline{4}\]


\[\begin{aligned}{\left( 3 \cdot {2}^{2} \right)}^{-2}& = \frac{1}{\left(3 \cdot 2^{2}\right)^{2}}\\& = \frac{1}{\left(3 \cdot 4\right)^{2}}\\& = \frac{1}{12^{2}}\\& = \frac{1}{144}\end{aligned}\]