Evaluate
\frac{1}{2z}
Expand
\frac{1}{2z}
Quiz
Algebra
5 problems similar to:
\frac { x ^ { 25 } ( x ^ { 5 } y ) ^ { - 5 } } { 2 y ^ { - 5 } z }
Share
Copied to clipboard
\frac{x^{25}\left(x^{5}\right)^{-5}y^{-5}}{2y^{-5}z}
Expand \left(x^{5}y\right)^{-5}.
\frac{x^{25}x^{-25}y^{-5}}{2y^{-5}z}
To raise a power to another power, multiply the exponents. Multiply 5 and -5 to get -25.
\frac{y^{-5}}{2y^{-5}z}
Multiply x^{25} and x^{-25} to get 1.
\frac{1}{2z}
Cancel out y^{-5} in both numerator and denominator.
\frac{x^{25}\left(x^{5}\right)^{-5}y^{-5}}{2y^{-5}z}
Expand \left(x^{5}y\right)^{-5}.
\frac{x^{25}x^{-25}y^{-5}}{2y^{-5}z}
To raise a power to another power, multiply the exponents. Multiply 5 and -5 to get -25.
\frac{y^{-5}}{2y^{-5}z}
Multiply x^{25} and x^{-25} to get 1.
\frac{1}{2z}
Cancel out y^{-5} 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}