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\left(\sqrt[3]{11}\right)^{-6}
Use the rules of exponents to simplify the expression.
11^{\frac{1}{3}\left(-6\right)}
To raise a power to another power, multiply the exponents.
11^{-2}
Multiply \frac{1}{3} times -6.
\frac{1}{121}
Raise 11 to the power -2.