(4^-3 * 4^2)^3
You asked:
Evaluate the expression: \({\left( {4}^{-3} \cdot {4}^{2} \right)}^{3}\)
MathBot Answer:
\[{\left( {4}^{-3} \cdot {4}^{2} \right)}^{3} = \frac{1}{64} = 0.015625\]
\[\begin{aligned}{\left( {4}^{-3} \cdot {4}^{2} \right)}^{3}& = \left(\frac{1}{4^{3}} \cdot 4^{2}\right)^{3}\\& = \left(\frac{1}{64} \cdot 4^{2}\right)^{3}\\& = \left(\frac{16}{64}\right)^{3}\\& = \left(\frac{1}{4}\right)^{3}\\& = \frac{1}{64}\end{aligned}\]