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-\frac{\left(\sqrt{2}\right)^{2}}{2^{2}}
To raise \frac{\sqrt{2}}{2} to a power, raise both numerator and denominator to the power and then divide.
-\frac{2}{2^{2}}
The square of \sqrt{2} is 2.
-\frac{2}{4}
Calculate 2 to the power of 2 and get 4.
-\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.