Evaluate
0.0002
Factor
\frac{1}{2 ^ {3} \cdot 5 ^ {4}} = 0.0002
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\sqrt{\frac{0.0004}{10000}}
Calculate 0.02 to the power of 2 and get 0.0004.
\sqrt{\frac{4}{100000000}}
Expand \frac{0.0004}{10000} by multiplying both numerator and the denominator by 10000.
\sqrt{\frac{1}{25000000}}
Reduce the fraction \frac{4}{100000000} to lowest terms by extracting and canceling out 4.
\frac{1}{5000}
Rewrite the square root of the division \frac{1}{25000000} as the division of square roots \frac{\sqrt{1}}{\sqrt{25000000}}. Take the square root of both numerator and denominator.
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}