Remove parentheses.
\[{(-4)}^{-3}\times {2}^{-4}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{1}{{(-4)}^{3}}\times {2}^{-4}\]
Since the power of 3 is odd, the result will be negative.
\[\frac{1}{-{4}^{3}}\times {2}^{-4}\]
Simplify \({4}^{3}\) to \(64\).
\[\frac{1}{-64}\times {2}^{-4}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{1}{-64}\times \frac{1}{{2}^{4}}\]
Simplify \({2}^{4}\) to \(16\).
\[\frac{1}{-64}\times \frac{1}{16}\]
Move the negative sign to the left.
\[-\frac{1}{64}\times \frac{1}{16}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-\frac{1\times 1}{64\times 16}\]
Simplify \(1\times 1\) to \(1\).
\[-\frac{1}{64\times 16}\]
Simplify \(64\times 16\) to \(1024\).
\[-\frac{1}{1024}\]
Decimal Form: -0.000977
-1/1024
