\frac { 500 \times ( 10 ^ { - 3 } ) ^ { 2 } \times 2,4 \times 10 ^ { 7 } } { 8 \times 1 }
Evaluate
1500
Factor
3\times 2^{2}\times 5^{3}
Share
Copied to clipboard
\frac{500\times 10^{-6}\times 2,4\times 10^{7}}{8\times 1}
To raise a power to another power, multiply the exponents. Multiply -3 and 2 to get -6.
\frac{500\times 10^{1}\times 2,4}{8\times 1}
To multiply powers of the same base, add their exponents. Add -6 and 7 to get 1.
2,4\times 5\times 125
Cancel out 2\times 4 in both numerator and denominator.
12\times 125
Multiply 2,4 and 5 to get 12.
1500
Multiply 12 and 125 to get 1500.
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}