(-6) ^ { \dfrac{ -1 }{ 3 } }
You asked:
Evaluate the expression: \({\left( -6 \right)}^{\frac{-1}{3}}\)
MathBot Answer:
\[{\left( -6 \right)}^{\frac{-1}{3}} = - \frac{\left(-6\right)^{\frac{2}{3}}}{6}\]
\[\begin{aligned}{\left( -6 \right)}^{\frac{-1}{3}}& = \frac{1}{\sqrt[3]{-6}}\\& = - \frac{1}{6} \cdot \left(-6\right)^{\frac{2}{3}}\end{aligned}\]