Evaluate
\frac{1}{50}=0.02
Factor
\frac{1}{2 \cdot 5 ^ {2}} = 0.02
Share
Copied to clipboard
10^{-2}+\frac{10^{3}}{10^{5}}
To multiply powers of the same base, add their exponents. Add -2 and 0 to get -2.
10^{-2}+\frac{1}{10^{2}}
Rewrite 10^{5} as 10^{3}\times 10^{2}. Cancel out 10^{3} in both numerator and denominator.
\frac{1}{100}+\frac{1}{10^{2}}
Calculate 10 to the power of -2 and get \frac{1}{100}.
\frac{1}{100}+\frac{1}{100}
Calculate 10 to the power of 2 and get 100.
\frac{1}{50}
Add \frac{1}{100} and \frac{1}{100} to get \frac{1}{50}.
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}