Evaluate
-6
Factor
-6
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\left(\frac{4}{3}\right)^{2}\times \left(\frac{-3}{2}\right)^{3}
Subtract \frac{2}{3} from 2 to get \frac{4}{3}.
\frac{16}{9}\times \left(\frac{-3}{2}\right)^{3}
Calculate \frac{4}{3} to the power of 2 and get \frac{16}{9}.
\frac{16}{9}\left(-\frac{3}{2}\right)^{3}
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.
\frac{16}{9}\left(-\frac{27}{8}\right)
Calculate -\frac{3}{2} to the power of 3 and get -\frac{27}{8}.
-6
Multiply \frac{16}{9} and -\frac{27}{8} to get -6.
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}