Evaluate
-216zx^{6}
Expand
-216zx^{6}
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\left(-6\right)^{3}\left(x^{2}\right)^{3}z
Expand \left(-6x^{2}\right)^{3}.
\left(-6\right)^{3}x^{6}z
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
-216x^{6}z
Calculate -6 to the power of 3 and get -216.
\left(-6\right)^{3}\left(x^{2}\right)^{3}z
Expand \left(-6x^{2}\right)^{3}.
\left(-6\right)^{3}x^{6}z
To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.
-216x^{6}z
Calculate -6 to the power of 3 and get -216.
Examples
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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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