Evaluate
-\frac{2}{3}\approx -0.666666667
Factor
-\frac{2}{3} = -0.6666666666666666
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\left(-\frac{2}{3}\right)^{3}\times \left(\frac{2}{3}\right)^{-2}\times 1
To multiply powers of the same base, add their exponents. Add 3 and 0 to get 3.
-\frac{8}{27}\times \left(\frac{2}{3}\right)^{-2}
Calculate -\frac{2}{3} to the power of 3 and get -\frac{8}{27}.
-\frac{8}{27}\times \frac{9}{4}
Calculate \frac{2}{3} to the power of -2 and get \frac{9}{4}.
-\frac{2}{3}
Multiply -\frac{8}{27} and \frac{9}{4} to get -\frac{2}{3}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}