Evaluate
-\frac{490}{27}\approx -18.148148148
Factor
-\frac{490}{27} = -18\frac{4}{27} = -18.14814814814815
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-30\times \left(\frac{-7}{9}\right)^{2}
Multiply 6 and -5 to get -30.
-30\left(-\frac{7}{9}\right)^{2}
Fraction \frac{-7}{9} can be rewritten as -\frac{7}{9} by extracting the negative sign.
-30\times \frac{49}{81}
Calculate -\frac{7}{9} to the power of 2 and get \frac{49}{81}.
-\frac{490}{27}
Multiply -30 and \frac{49}{81} to get -\frac{490}{27}.
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}