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\left(\left(-2\right)^{3}\right)^{-2}
Use the rules of exponents to simplify the expression.
\left(-2\right)^{3\left(-2\right)}
To raise a power to another power, multiply the exponents.
\left(-2\right)^{-6}
Multiply 3 times -2.
\frac{1}{64}
Raise -2 to the power -6.