Evaluate
-\frac{yx^{6}}{2}
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-\frac{yx^{6}}{2}
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\frac{\left(\left(-x^{2}\right)\times 1\right)^{3}}{-2x\left(\left(-x\right)y\right)^{-1}}
Calculate y to the power of 0 and get 1.
\frac{\left(-x^{2}\right)^{3}\times 1^{3}}{-2x\left(\left(-x\right)y\right)^{-1}}
Expand \left(\left(-x^{2}\right)\times 1\right)^{3}.
\frac{\left(-x^{2}\right)^{3}\times 1}{-2x\left(\left(-x\right)y\right)^{-1}}
Calculate 1 to the power of 3 and get 1.
\frac{\left(-x^{2}\right)^{3}\times 1}{-2x\left(-x\right)^{-1}y^{-1}}
Expand \left(\left(-x\right)y\right)^{-1}.
\frac{\left(-x^{2}\right)^{3}}{-2x\left(-x\right)^{-1}y^{-1}}
Cancel out 1 in both numerator and denominator.
\frac{\left(-1\right)^{3}\left(x^{2}\right)^{3}}{-2x\left(-x\right)^{-1}y^{-1}}
Expand \left(-x^{2}\right)^{3}.
\frac{\left(-1\right)^{3}x^{6}}{-2x\left(-x\right)^{-1}y^{-1}}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
\frac{-x^{6}}{-2x\left(-x\right)^{-1}y^{-1}}
Calculate -1 to the power of 3 and get -1.
\frac{-x^{6}}{-2x\left(-1\right)^{-1}x^{-1}y^{-1}}
Expand \left(-x\right)^{-1}.
\frac{-x^{6}}{-2x\left(-1\right)x^{-1}y^{-1}}
Calculate -1 to the power of -1 and get -1.
\frac{-x^{6}}{2xx^{-1}y^{-1}}
Multiply -2 and -1 to get 2.
\frac{-x^{6}}{2y^{-1}}
Multiply x and x^{-1} to get 1.
\frac{x^{6}}{-2y^{-1}}
Cancel out -1 in both numerator and denominator.
\frac{\left(\left(-x^{2}\right)\times 1\right)^{3}}{-2x\left(\left(-x\right)y\right)^{-1}}
Calculate y to the power of 0 and get 1.
\frac{\left(-x^{2}\right)^{3}\times 1^{3}}{-2x\left(\left(-x\right)y\right)^{-1}}
Expand \left(\left(-x^{2}\right)\times 1\right)^{3}.
\frac{\left(-x^{2}\right)^{3}\times 1}{-2x\left(\left(-x\right)y\right)^{-1}}
Calculate 1 to the power of 3 and get 1.
\frac{\left(-x^{2}\right)^{3}\times 1}{-2x\left(-x\right)^{-1}y^{-1}}
Expand \left(\left(-x\right)y\right)^{-1}.
\frac{\left(-x^{2}\right)^{3}}{-2x\left(-x\right)^{-1}y^{-1}}
Cancel out 1 in both numerator and denominator.
\frac{\left(-1\right)^{3}\left(x^{2}\right)^{3}}{-2x\left(-x\right)^{-1}y^{-1}}
Expand \left(-x^{2}\right)^{3}.
\frac{\left(-1\right)^{3}x^{6}}{-2x\left(-x\right)^{-1}y^{-1}}
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
\frac{-x^{6}}{-2x\left(-x\right)^{-1}y^{-1}}
Calculate -1 to the power of 3 and get -1.
\frac{-x^{6}}{-2x\left(-1\right)^{-1}x^{-1}y^{-1}}
Expand \left(-x\right)^{-1}.
\frac{-x^{6}}{-2x\left(-1\right)x^{-1}y^{-1}}
Calculate -1 to the power of -1 and get -1.
\frac{-x^{6}}{2xx^{-1}y^{-1}}
Multiply -2 and -1 to get 2.
\frac{-x^{6}}{2y^{-1}}
Multiply x and x^{-1} to get 1.
\frac{x^{6}}{-2y^{-1}}
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}