Evaluate
n^{22}m^{37}
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n^{22}m^{37}
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\left(m^{5}\right)^{7}\left(n^{3}\right)^{7}m^{2}n
Expand \left(m^{5}n^{3}\right)^{7}.
m^{35}\left(n^{3}\right)^{7}m^{2}n
To raise a power to another power, multiply the exponents. Multiply 5 and 7 to get 35.
m^{35}n^{21}m^{2}n
To raise a power to another power, multiply the exponents. Multiply 3 and 7 to get 21.
m^{37}n^{21}n
To multiply powers of the same base, add their exponents. Add 35 and 2 to get 37.
m^{37}n^{22}
To multiply powers of the same base, add their exponents. Add 21 and 1 to get 22.
\left(m^{5}\right)^{7}\left(n^{3}\right)^{7}m^{2}n
Expand \left(m^{5}n^{3}\right)^{7}.
m^{35}\left(n^{3}\right)^{7}m^{2}n
To raise a power to another power, multiply the exponents. Multiply 5 and 7 to get 35.
m^{35}n^{21}m^{2}n
To raise a power to another power, multiply the exponents. Multiply 3 and 7 to get 21.
m^{37}n^{21}n
To multiply powers of the same base, add their exponents. Add 35 and 2 to get 37.
m^{37}n^{22}
To multiply powers of the same base, add their exponents. Add 21 and 1 to get 22.
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}