(2^-2 2^-3)^-1
You asked:
Evaluate the expression: \({\left( {2}^{-2} {2}^{-3} \right)}^{-1}\)
MathBot Answer:
\[{\left( {2}^{-2} {2}^{-3} \right)}^{-1} = 32\]
\[\begin{aligned}{\left( {2}^{-2} {2}^{-3} \right)}^{-1}& = \frac{1}{\frac{1}{2^{2}} \cdot \frac{1}{2^{3}}}\\& = \frac{1}{\frac{1}{4} \cdot \frac{1}{2^{3}}}\\& = \frac{1}{\frac{1}{4} \cdot \frac{1}{8}}\\& = \frac{1}{\frac{1}{32}}\\& = 32\end{aligned}\]