Evaluate
\frac{27}{125x^{6}}
Expand
\frac{27}{125x^{6}}
Graph
Quiz
Algebra
5 problems similar to:
{ \left( { x }^{ 2 } + \frac{ 2 }{ 3 } { x }^{ 2 } \right) }^{ -3 } =
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\left(\frac{5}{3}x^{2}\right)^{-3}
Combine x^{2} and \frac{2}{3}x^{2} to get \frac{5}{3}x^{2}.
\left(\frac{5}{3}\right)^{-3}\left(x^{2}\right)^{-3}
Expand \left(\frac{5}{3}x^{2}\right)^{-3}.
\left(\frac{5}{3}\right)^{-3}x^{-6}
To raise a power to another power, multiply the exponents. Multiply 2 and -3 to get -6.
\frac{27}{125}x^{-6}
Calculate \frac{5}{3} to the power of -3 and get \frac{27}{125}.
\left(\frac{5}{3}x^{2}\right)^{-3}
Combine x^{2} and \frac{2}{3}x^{2} to get \frac{5}{3}x^{2}.
\left(\frac{5}{3}\right)^{-3}\left(x^{2}\right)^{-3}
Expand \left(\frac{5}{3}x^{2}\right)^{-3}.
\left(\frac{5}{3}\right)^{-3}x^{-6}
To raise a power to another power, multiply the exponents. Multiply 2 and -3 to get -6.
\frac{27}{125}x^{-6}
Calculate \frac{5}{3} to the power of -3 and get \frac{27}{125}.
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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}