(-4)^5*(-4)^6รท(-4)^5
You asked:
Evaluate the expression: \(\frac{{\left( -4 \right)}^{5} \cdot {\left( -4 \right)}^{6}}{{\left( -4 \right)}^{5}}\)
MathBot Answer:
\[\frac{{\left( -4 \right)}^{5} \cdot {\left( -4 \right)}^{6}}{{\left( -4 \right)}^{5}} = 4096\]
\[\begin{aligned}\frac{{\left( -4 \right)}^{5} \cdot {\left( -4 \right)}^{6}}{{\left( -4 \right)}^{5}}& = \left(-4\right)^{5} \cdot \left(-4\right)^{6} \cdot \frac{1}{\left(-4\right)^{5}}\\& = -1024 \cdot \left(-4\right)^{6} \cdot \frac{1}{\left(-4\right)^{5}}\\& = -1024 \cdot 4096 \cdot \frac{1}{\left(-4\right)^{5}}\\& = -1024 \cdot \frac{4096}{-1024}\\& = -1024 \cdot -4\\& = 4096\end{aligned}\]