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\frac{\left(\sqrt{3}\right)^{2}}{6^{2}}
To raise \frac{\sqrt{3}}{6} to a power, raise both numerator and denominator to the power and then divide.
\frac{3}{6^{2}}
The square of \sqrt{3} is 3.
\frac{3}{36}
Calculate 6 to the power of 2 and get 36.
\frac{1}{12}
Reduce the fraction \frac{3}{36} to lowest terms by extracting and canceling out 3.