Evaluate
\frac{27}{125000}=0.000216
Factor
\frac{3 ^ {3}}{2 ^ {3} \cdot 5 ^ {6}} = 0.000216
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9\times 8\times 10^{-6}\times 3
To multiply powers of the same base, add their exponents. Add -2 and -4 to get -6.
72\times 10^{-6}\times 3
Multiply 9 and 8 to get 72.
72\times \frac{1}{1000000}\times 3
Calculate 10 to the power of -6 and get \frac{1}{1000000}.
\frac{9}{125000}\times 3
Multiply 72 and \frac{1}{1000000} to get \frac{9}{125000}.
\frac{27}{125000}
Multiply \frac{9}{125000} and 3 to get \frac{27}{125000}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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}