Question

$$\sqrt[3]{\frac{-343}{3375}}$$

Answer

$$1/3^(3375/343)$$

Solution


Move the negative sign to the left.
\[{3}^{-\frac{1}{\frac{343}{3375}}}\]
Invert and multiply.
\[{3}^{-\frac{3375}{343}}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{1}{{3}^{\frac{3375}{343}}}\]