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