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\frac{1}{\left(-2\right)^{3}}
Use the rules of exponents to simplify the expression.
\left(-2\right)^{3\left(-1\right)}
To raise a power to another power, multiply the exponents.
\left(-2\right)^{-3}
Multiply 3 times -1.
-\frac{1}{8}
Raise -2 to the power -3.