(4^3)^4/(2^6)^2
You asked:
Evaluate the expression: \(\frac{{{4}^{3}}^{4}}{{{2}^{6}}^{2}}\)
MathBot Answer:
\[\frac{{{4}^{3}}^{4}}{{{2}^{6}}^{2}} = 4096\]
\[\begin{aligned}\frac{{{4}^{3}}^{4}}{{{2}^{6}}^{2}}& = \left(4^{3}\right)^{4} \cdot \frac{1}{\left(2^{6}\right)^{2}}\\& = 64^{4} \cdot \frac{1}{\left(2^{6}\right)^{2}}\\& = 16777216 \cdot \frac{1}{\left(2^{6}\right)^{2}}\\& = 16777216 \cdot \frac{1}{64^{2}}\\& = \frac{16777216}{4096}\\& = 4096\end{aligned}\]