(-6) ^ { \dfrac{ -1 }{ 3 } }

asked by guest
on Jan 10, 2025 at 8:47 am



You asked:

Evaluate the expression: (−6)−13{\left( -6 \right)}^{\frac{-1}{3}}

MathBot Answer:

(−6)−13=−(−6)236{\left( -6 \right)}^{\frac{-1}{3}} = - \frac{\left(-6\right)^{\frac{2}{3}}}{6}

(−6)−13=1−63=−16⋅(−6)23\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}

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