6(6x^3 +9)^(-2/3)
You asked:
Evaluate the expression: \(6 \cdot {\left( 6 \cdot {x}^{3} + 9 \right)}^{\frac{-2}{3}}\)
MathBot Answer:
Evaluated
\(\displaystyle 6 \cdot {\left( 6 \cdot {x}^{3} + 9 \right)}^{\frac{-2}{3}} = \frac{6}{\left(6 x^{3} + 9\right)^{\frac{2}{3}}} \)
Expanded
\[6 \cdot {\left( 6 \cdot {x}^{3} + 9 \right)}^{\frac{-2}{3}} = \frac{6}{\left(6 x^{3} + 9\right)^{\frac{2}{3}}}\]
Factored
\[6 \cdot {\left( 6 \cdot {x}^{3} + 9 \right)}^{\frac{-2}{3}} = \frac{2 \cdot \sqrt[3]{3}}{\left(2 x^{3} + 3\right)^{\frac{2}{3}}}\]