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\frac{1}{\left(-\frac{1}{3}\right)^{-5}}
Use the rules of exponents to simplify the expression.
\left(-\frac{1}{3}\right)^{-5\left(-1\right)}
To raise a power to another power, multiply the exponents.
\left(-\frac{1}{3}\right)^{5}
Multiply -5 times -1.
-\frac{1}{243}
Raise -\frac{1}{3} to the power 5.