16 raised to the power of 3/4 * 2 raised to the power of 4 * 32 raised to the power of -1
You asked:
Evaluate the expression: \({16}^{\frac{3}{4}} \cdot {2}^{4} \cdot {32}^{-1}\)
MathBot Answer:
\[{16}^{\frac{3}{4}} \cdot {2}^{4} \cdot {32}^{-1} = 4\]
\[\begin{aligned}{16}^{\frac{3}{4}} \cdot {2}^{4} \cdot {32}^{-1}& = 16^{\frac{3}{4}} \cdot 2^{4} \cdot \frac{1}{32}\\& = 8 \cdot 2^{4} \cdot \frac{1}{32}\\& = 8 \cdot \frac{16}{32}\\& = \frac{8}{2}\\& = 4\end{aligned}\]