Solve for M
M=\frac{43}{176}\approx 0.244318182
Assign M
M≔\frac{43}{176}
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M=\frac{-\frac{1}{11}+4}{\left(-4\right)^{2}}
Fraction \frac{1}{-11} can be rewritten as -\frac{1}{11} by extracting the negative sign.
M=\frac{-\frac{1}{11}+\frac{44}{11}}{\left(-4\right)^{2}}
Convert 4 to fraction \frac{44}{11}.
M=\frac{\frac{-1+44}{11}}{\left(-4\right)^{2}}
Since -\frac{1}{11} and \frac{44}{11} have the same denominator, add them by adding their numerators.
M=\frac{\frac{43}{11}}{\left(-4\right)^{2}}
Add -1 and 44 to get 43.
M=\frac{\frac{43}{11}}{16}
Calculate -4 to the power of 2 and get 16.
M=\frac{43}{11\times 16}
Express \frac{\frac{43}{11}}{16} as a single fraction.
M=\frac{43}{176}
Multiply 11 and 16 to get 176.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
Arithmetic
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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}