Evaluate
\frac{2450}{157}\approx 15.605095541
Factor
\frac{2 \cdot 5 ^ {2} \cdot 7 ^ {2}}{157} = 15\frac{95}{157} = 15.605095541401274
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\left(\frac{700}{314}\right)^{2}\times 3.14
Expand \frac{7}{3.14} by multiplying both numerator and the denominator by 100.
\left(\frac{350}{157}\right)^{2}\times 3.14
Reduce the fraction \frac{700}{314} to lowest terms by extracting and canceling out 2.
\frac{122500}{24649}\times 3.14
Calculate \frac{350}{157} to the power of 2 and get \frac{122500}{24649}.
\frac{2450}{157}
Multiply \frac{122500}{24649} and 3.14 to get \frac{2450}{157}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}