Evaluate
13.5
Factor
\frac{3 ^ {3}}{2} = 13\frac{1}{2} = 13.5
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12\times 3.375-12\times 1.5^{2}
Calculate 1.5 to the power of 3 and get 3.375.
40.5-12\times 1.5^{2}
Multiply 12 and 3.375 to get 40.5.
40.5-12\times 2.25
Calculate 1.5 to the power of 2 and get 2.25.
40.5-27
Multiply 12 and 2.25 to get 27.
13.5
Subtract 27 from 40.5 to get 13.5.
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}