1/4^-7/2

asked by guest
on Dec 25, 2024 at 11:47 pm



You asked:

Evaluate the expression: \(\frac{\frac{1}{{4}^{-7}}}{2}\)

MathBot Answer:

\[\frac{\frac{1}{{4}^{-7}}}{2} = 8192\]


\[\begin{aligned}\frac{\frac{1}{{4}^{-7}}}{2}& = \frac{1}{\frac{1}{4^{7}}} \cdot \frac{1}{2}\\& = \frac{1}{\frac{1}{16384}} \cdot \frac{1}{2}\\& = \frac{16384}{2}\\& = 8192\end{aligned}\]