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\frac{2x^{2}}{2^{2}x^{2}}
Expand \left(2x\right)^{2}.
\frac{2x^{2}}{4x^{2}}
Calculate 2 to the power of 2 and get 4.
\frac{1}{2}
Cancel out 2x^{2} in both numerator and denominator.