Evaluate
5ax
Differentiate w.r.t. x
5a
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\frac{10^{1}a^{2}x^{3}}{2^{1}a^{1}x^{2}}
Use the rules of exponents to simplify the expression.
\frac{10^{1}}{2^{1}}a^{2-1}x^{3-2}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{10^{1}}{2^{1}}a^{1}x^{3-2}
Subtract 1 from 2.
\frac{10^{1}}{2^{1}}ax^{1}
Subtract 2 from 3.
5ax
Divide 10 by 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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