\frac { 6 \cdot 10 ^ { 5 } \cdot 4 \cdot 10 ^ { 3 } } { 1,2 \cdot 10 ^ { 7 } }
Evaluate
200
Factor
2^{3}\times 5^{2}
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\frac{6\times 10^{8}\times 4}{1,2\times 10^{7}}
To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.
\frac{4\times 6\times 10}{1,2}
Cancel out 10^{7} in both numerator and denominator.
\frac{24\times 10}{1,2}
Multiply 4 and 6 to get 24.
\frac{240}{1,2}
Multiply 24 and 10 to get 240.
\frac{2400}{12}
Expand \frac{240}{1,2} by multiplying both numerator and the denominator by 10.
200
Divide 2400 by 12 to get 200.
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}