Evaluate
6.468
Factor
\frac{3 \cdot 11 \cdot 7 ^ {2}}{2 \cdot 5 ^ {3}} = 6\frac{117}{250} = 6.468
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8.4\times 10^{-1}\times 7.7
To multiply powers of the same base, add their exponents. Add 0 and -1 to get -1.
8.4\times \frac{1}{10}\times 7.7
Calculate 10 to the power of -1 and get \frac{1}{10}.
\frac{21}{25}\times 7.7
Multiply 8.4 and \frac{1}{10} to get \frac{21}{25}.
\frac{1617}{250}
Multiply \frac{21}{25} and 7.7 to get \frac{1617}{250}.
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}