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\frac{1}{\left(\frac{2}{3}\right)^{-3}}
Use the rules of exponents to simplify the expression.
\left(\frac{2}{3}\right)^{-3\left(-1\right)}
To raise a power to another power, multiply the exponents.
\left(\frac{2}{3}\right)^{3}
Multiply -3 times -1.
\frac{8}{27}
Raise \frac{2}{3} to the power 3.