Evaluate
74.0625
Factor
\frac{3 \cdot 5 \cdot 79}{2 ^ {4}} = 74\frac{1}{16} = 74.0625
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\left(100-\left(10-0.25\right)^{2}\right)\times 15
Calculate 10 to the power of 2 and get 100.
\left(100-9.75^{2}\right)\times 15
Subtract 0.25 from 10 to get 9.75.
\left(100-95.0625\right)\times 15
Calculate 9.75 to the power of 2 and get 95.0625.
4.9375\times 15
Subtract 95.0625 from 100 to get 4.9375.
74.0625
Multiply 4.9375 and 15 to get 74.0625.
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}