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\frac{\left(ax\right)^{2}y^{2}}{yx^{2}}
Divide \frac{\left(ax\right)^{2}}{y} by \frac{x^{2}}{y^{2}} by multiplying \frac{\left(ax\right)^{2}}{y} by the reciprocal of \frac{x^{2}}{y^{2}}.
\frac{y\left(ax\right)^{2}}{x^{2}}
Cancel out y in both numerator and denominator.
\frac{ya^{2}x^{2}}{x^{2}}
Expand \left(ax\right)^{2}.
ya^{2}
Cancel out x^{2} in both numerator and denominator.
\frac{\left(ax\right)^{2}y^{2}}{yx^{2}}
Divide \frac{\left(ax\right)^{2}}{y} by \frac{x^{2}}{y^{2}} by multiplying \frac{\left(ax\right)^{2}}{y} by the reciprocal of \frac{x^{2}}{y^{2}}.
\frac{y\left(ax\right)^{2}}{x^{2}}
Cancel out y in both numerator and denominator.
\frac{ya^{2}x^{2}}{x^{2}}
Expand \left(ax\right)^{2}.
ya^{2}
Cancel out x^{2} in both numerator and denominator.