Evaluate
0.0628
Factor
\frac{157}{2 ^ {2} \cdot 5 ^ {4}} = 0.0628
Share
Copied to clipboard
6.28\sqrt{200\times 500\times 10^{-9}}
Multiply 2 and 3.14 to get 6.28.
6.28\sqrt{100000\times 10^{-9}}
Multiply 200 and 500 to get 100000.
6.28\sqrt{100000\times \frac{1}{1000000000}}
Calculate 10 to the power of -9 and get \frac{1}{1000000000}.
6.28\sqrt{\frac{1}{10000}}
Multiply 100000 and \frac{1}{1000000000} to get \frac{1}{10000}.
6.28\times \frac{1}{100}
Rewrite the square root of the division \frac{1}{10000} as the division of square roots \frac{\sqrt{1}}{\sqrt{10000}}. Take the square root of both numerator and denominator.
\frac{157}{2500}
Multiply 6.28 and \frac{1}{100} to get \frac{157}{2500}.
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}