Question

(a) -6x^{\frac{1}{3}}
(b) -6x^{-\frac{1}{3}}
(c) 6x^{-\frac{1}{3}}
(d) 6x^{\frac{1}{3}}

Explanation:

Step1: Recall the radical - exponent conversion rule

The cube - root of a number \(x\) can be written as \(x^{\frac{1}{3}}\), i.e., \(\sqrt[3]{x}=x^{\frac{1}{3}}\). So, \(- 6\sqrt[3]{x}=-6x^{\frac{1}{3}}\).

Answer:

A. \(-6x^{\frac{1}{3}}\)