Evaluate
-\frac{1}{x}
Expand
-\frac{1}{x}
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\frac{\left(1y^{3}\right)^{-2}}{xy^{-3}\left(-y^{-3}\right)}
Calculate x to the power of 0 and get 1.
\frac{1^{-2}\left(y^{3}\right)^{-2}}{xy^{-3}\left(-y^{-3}\right)}
Expand \left(1y^{3}\right)^{-2}.
\frac{1^{-2}y^{-6}}{xy^{-3}\left(-y^{-3}\right)}
To raise a power to another power, multiply the exponents. Multiply 3 and -2 to get -6.
\frac{1y^{-6}}{xy^{-3}\left(-y^{-3}\right)}
Calculate 1 to the power of -2 and get 1.
\frac{1}{\left(-y^{-3}\right)xy^{3}}
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
\frac{1}{-x}
Multiply y^{-3} and y^{3} to get 1.
\frac{\left(1y^{3}\right)^{-2}}{xy^{-3}\left(-y^{-3}\right)}
Calculate x to the power of 0 and get 1.
\frac{1^{-2}\left(y^{3}\right)^{-2}}{xy^{-3}\left(-y^{-3}\right)}
Expand \left(1y^{3}\right)^{-2}.
\frac{1^{-2}y^{-6}}{xy^{-3}\left(-y^{-3}\right)}
To raise a power to another power, multiply the exponents. Multiply 3 and -2 to get -6.
\frac{1y^{-6}}{xy^{-3}\left(-y^{-3}\right)}
Calculate 1 to the power of -2 and get 1.
\frac{1}{\left(-y^{-3}\right)xy^{3}}
To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.
\frac{1}{-x}
Multiply y^{-3} and y^{3} to get 1.
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}