4 raise to 5 divided by 4 raise to minus 4
You asked:
Evaluate the expression: \(\frac{{4}^{5}}{{4}^{-4}}\)
MathBot Answer:
\[\frac{{4}^{5}}{{4}^{-4}} = 262144\]
\[\begin{aligned}\frac{{4}^{5}}{{4}^{-4}}& = 4^{5} \cdot \frac{1}{\frac{1}{4^{4}}}\\& = 1024 \cdot \frac{1}{\frac{1}{4^{4}}}\\& = 1024 \cdot \frac{1}{\frac{1}{256}}\\& = 262144\end{aligned}\]