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-\frac{25y}{x^{2}}
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-\frac{25y}{x^{2}}
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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.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}