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\left(\left(-\frac{1}{3}\right)^{2}\right)^{-2}
Use the rules of exponents to simplify the expression.
\left(-\frac{1}{3}\right)^{2\left(-2\right)}
To raise a power to another power, multiply the exponents.
\left(-\frac{1}{3}\right)^{-4}
Multiply 2 times -2.
81
Raise -\frac{1}{3} to the power -4.