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\frac{1}{81}\sqrt[4]{9}
Calculate 9 to the power of -2 and get \frac{1}{81}.
\sqrt[4]{9}=\sqrt[4]{3^{2}}=3^{\frac{2}{4}}=3^{\frac{1}{2}}=\sqrt{3}
Rewrite \sqrt[4]{9} as \sqrt[4]{3^{2}}. Convert from radical to exponential form and cancel out 2 in the exponent. Convert back to radical form.
\frac{1}{81}\sqrt{3}
Insert the obtained value back in the expression.