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\frac{x^{2}y}{\left(-x\right)^{2}y^{2}}xy^{2}
Expand \left(\left(-x\right)y\right)^{2}.
\frac{x^{2}y}{x^{2}y^{2}}xy^{2}
Calculate -x to the power of 2 and get x^{2}.
\frac{1}{y}xy^{2}
Cancel out yx^{2} in both numerator and denominator.
\frac{x}{y}y^{2}
Express \frac{1}{y}x as a single fraction.
\frac{xy^{2}}{y}
Express \frac{x}{y}y^{2} as a single fraction.
xy
Cancel out y in both numerator and denominator.
\frac{x^{2}y}{\left(-x\right)^{2}y^{2}}xy^{2}
Expand \left(\left(-x\right)y\right)^{2}.
\frac{x^{2}y}{x^{2}y^{2}}xy^{2}
Calculate -x to the power of 2 and get x^{2}.
\frac{1}{y}xy^{2}
Cancel out yx^{2} in both numerator and denominator.
\frac{x}{y}y^{2}
Express \frac{1}{y}x as a single fraction.
\frac{xy^{2}}{y}
Express \frac{x}{y}y^{2} as a single fraction.
xy
Cancel out y in both numerator and denominator.