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\frac{1}{\sqrt{27}}
Use the rules of exponents to simplify the expression.
27^{\frac{1}{2}\left(-1\right)}
To raise a power to another power, multiply the exponents.
27^{-\frac{1}{2}}
Multiply \frac{1}{2} times -1.
\frac{\sqrt{3}}{9}
Raise 27 to the power -\frac{1}{2}.