Evaluate
0.05
Factor
\frac{1}{5 \cdot 2 ^ {2}} = 0.05
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\frac{30\times 10^{2}\times 2}{1.2\times 10^{5}}
To multiply powers of the same base, add their exponents. Add 5 and -3 to get 2.
\frac{2\times 30}{1.2\times 10^{3}}
Cancel out 10^{2} in both numerator and denominator.
\frac{60}{1.2\times 10^{3}}
Multiply 2 and 30 to get 60.
\frac{60}{1.2\times 1000}
Calculate 10 to the power of 3 and get 1000.
\frac{60}{1200}
Multiply 1.2 and 1000 to get 1200.
\frac{1}{20}
Reduce the fraction \frac{60}{1200} to lowest terms by extracting and canceling out 60.
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}