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\frac{\left(\sqrt{3}\right)^{2}}{4^{2}}=x
To raise \frac{\sqrt{3}}{4} to a power, raise both numerator and denominator to the power and then divide.
\frac{3}{4^{2}}=x
The square of \sqrt{3} is 3.
\frac{3}{16}=x
Calculate 4 to the power of 2 and get 16.
x=\frac{3}{16}
Swap sides so that all variable terms are on the left hand side.