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\frac{-5y^{6}}{x^{3}}\times \frac{-5xy^{-2}}{\left(-y\right)^{3}}
Cancel out 2xy^{2} in both numerator and denominator.
\frac{-5y^{6}\left(-5\right)xy^{-2}}{x^{3}\left(-y\right)^{3}}
Multiply \frac{-5y^{6}}{x^{3}} times \frac{-5xy^{-2}}{\left(-y\right)^{3}} by multiplying numerator times numerator and denominator times denominator.
\frac{-5\left(-5\right)y^{-2}y^{6}}{x^{2}\left(-y\right)^{3}}
Cancel out x in both numerator and denominator.
\frac{-5\left(-5\right)y^{4}}{x^{2}\left(-y\right)^{3}}
To multiply powers of the same base, add their exponents. Add -2 and 6 to get 4.
\frac{25y^{4}}{x^{2}\left(-y\right)^{3}}
Multiply -5 and -5 to get 25.
\frac{25y^{4}}{x^{2}\left(-1\right)^{3}y^{3}}
Expand \left(-y\right)^{3}.
\frac{25y^{4}}{x^{2}\left(-1\right)y^{3}}
Calculate -1 to the power of 3 and get -1.
\frac{25y}{-x^{2}}
Cancel out y^{3} in both numerator and denominator.
\frac{-25y}{x^{2}}
Cancel out -1 in both numerator and denominator.
\frac{-5y^{6}}{x^{3}}\times \frac{-5xy^{-2}}{\left(-y\right)^{3}}
Cancel out 2xy^{2} in both numerator and denominator.
\frac{-5y^{6}\left(-5\right)xy^{-2}}{x^{3}\left(-y\right)^{3}}
Multiply \frac{-5y^{6}}{x^{3}} times \frac{-5xy^{-2}}{\left(-y\right)^{3}} by multiplying numerator times numerator and denominator times denominator.
\frac{-5\left(-5\right)y^{-2}y^{6}}{x^{2}\left(-y\right)^{3}}
Cancel out x in both numerator and denominator.
\frac{-5\left(-5\right)y^{4}}{x^{2}\left(-y\right)^{3}}
To multiply powers of the same base, add their exponents. Add -2 and 6 to get 4.
\frac{25y^{4}}{x^{2}\left(-y\right)^{3}}
Multiply -5 and -5 to get 25.
\frac{25y^{4}}{x^{2}\left(-1\right)^{3}y^{3}}
Expand \left(-y\right)^{3}.
\frac{25y^{4}}{x^{2}\left(-1\right)y^{3}}
Calculate -1 to the power of 3 and get -1.
\frac{25y}{-x^{2}}
Cancel out y^{3} in both numerator and denominator.
\frac{-25y}{x^{2}}
Cancel out -1 in both numerator and denominator.