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