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-\frac{7m^{7}}{108}
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-\frac{7m^{7}}{108}
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\frac{1}{9}m^{7}\times \frac{4-25}{36}
To multiply powers of the same base, add their exponents. Add 1 and 6 to get 7.
\frac{1}{9}m^{7}\times \frac{-21}{36}
Subtract 25 from 4 to get -21.
\frac{1}{9}m^{7}\left(-\frac{7}{12}\right)
Reduce the fraction \frac{-21}{36} to lowest terms by extracting and canceling out 3.
-\frac{7}{108}m^{7}
Multiply \frac{1}{9} and -\frac{7}{12} to get -\frac{7}{108}.
\frac{1}{9}m^{7}\times \frac{4-25}{36}
To multiply powers of the same base, add their exponents. Add 1 and 6 to get 7.
\frac{1}{9}m^{7}\times \frac{-21}{36}
Subtract 25 from 4 to get -21.
\frac{1}{9}m^{7}\left(-\frac{7}{12}\right)
Reduce the fraction \frac{-21}{36} to lowest terms by extracting and canceling out 3.
-\frac{7}{108}m^{7}
Multiply \frac{1}{9} and -\frac{7}{12} to get -\frac{7}{108}.
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}