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\frac{\left(\sqrt{2}\right)^{2}}{3^{2}}
To raise \frac{\sqrt{2}}{3} to a power, raise both numerator and denominator to the power and then divide.
\frac{2}{3^{2}}
The square of \sqrt{2} is 2.
\frac{2}{9}
Calculate 3 to the power of 2 and get 9.