Evaluate
\frac{3136}{9}\approx 348.444444444
Factor
\frac{2 ^ {6} \cdot 7 ^ {2}}{3 ^ {2}} = 348\frac{4}{9} = 348.44444444444446
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\frac{108+4}{6}\times \frac{18\times 3+2}{3}
Multiply 18 and 6 to get 108.
\frac{112}{6}\times \frac{18\times 3+2}{3}
Add 108 and 4 to get 112.
\frac{56}{3}\times \frac{18\times 3+2}{3}
Reduce the fraction \frac{112}{6} to lowest terms by extracting and canceling out 2.
\frac{56}{3}\times \frac{54+2}{3}
Multiply 18 and 3 to get 54.
\frac{56}{3}\times \frac{56}{3}
Add 54 and 2 to get 56.
\frac{56\times 56}{3\times 3}
Multiply \frac{56}{3} times \frac{56}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{3136}{9}
Do the multiplications in the fraction \frac{56\times 56}{3\times 3}.
Examples
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{ 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}