Evaluate
\frac{5}{3}-\frac{1}{z}
Factor
\frac{5z-3}{3z}
Share
Copied to clipboard
1-3^{-1}+5^{0}-z^{-1}
Calculate z to the power of 0 and get 1.
1-\frac{1}{3}+5^{0}-z^{-1}
Calculate 3 to the power of -1 and get \frac{1}{3}.
\frac{2}{3}+5^{0}-z^{-1}
Subtract \frac{1}{3} from 1 to get \frac{2}{3}.
\frac{2}{3}+1-z^{-1}
Calculate 5 to the power of 0 and get 1.
\frac{5}{3}-z^{-1}
Add \frac{2}{3} and 1 to get \frac{5}{3}.
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}