Evaluate
-\frac{16p^{24}}{9}
Expand
-\frac{16p^{24}}{9}
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-6\times \left(\frac{2}{3}\right)^{3}\left(p^{8}\right)^{3}
Expand \left(\frac{2}{3}p^{8}\right)^{3}.
-6\times \left(\frac{2}{3}\right)^{3}p^{24}
To raise a power to another power, multiply the exponents. Multiply 8 and 3 to get 24.
-6\times \frac{8}{27}p^{24}
Calculate \frac{2}{3} to the power of 3 and get \frac{8}{27}.
-\frac{16}{9}p^{24}
Multiply -6 and \frac{8}{27} to get -\frac{16}{9}.
-6\times \left(\frac{2}{3}\right)^{3}\left(p^{8}\right)^{3}
Expand \left(\frac{2}{3}p^{8}\right)^{3}.
-6\times \left(\frac{2}{3}\right)^{3}p^{24}
To raise a power to another power, multiply the exponents. Multiply 8 and 3 to get 24.
-6\times \frac{8}{27}p^{24}
Calculate \frac{2}{3} to the power of 3 and get \frac{8}{27}.
-\frac{16}{9}p^{24}
Multiply -6 and \frac{8}{27} to get -\frac{16}{9}.
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}