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x^{2}\left(-5x\right)^{-2}
Divide 4 by 2 to get 2.
x^{2}\left(-5\right)^{-2}x^{-2}
Expand \left(-5x\right)^{-2}.
x^{2}\times \frac{1}{25}x^{-2}
Calculate -5 to the power of -2 and get \frac{1}{25}.
\frac{1}{25}
Multiply x^{2} and x^{-2} to get 1.