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