Evaluate
x^{5}\left(yz\right)^{7}
Differentiate w.r.t. x
5x^{4}\left(yz\right)^{7}
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x^{3}y^{5}z^{4}x^{2}y^{2}z^{3}
Use the rules of exponents to simplify the expression.
x^{3}x^{2}y^{5}y^{2}z^{4}z^{3}
Use the Commutative Property of Multiplication.
x^{3+2}y^{5+2}z^{4+3}
To multiply powers of the same base, add their exponents.
x^{5}y^{5+2}z^{4+3}
Add the exponents 3 and 2.
x^{5}y^{7}z^{4+3}
Add the exponents 5 and 2.
x^{5}y^{7}z^{7}
Add the exponents 4 and 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}