Question

Select all that are equivalent to the expression x^-1/3

Answer 1

1/∛x

Explanation

Based on the therem of power of exponents;

a^-m = 1/a^m

Given the expression

x^-1/3

On comparison, you ca see that;

a = x

m = 1/3

Substitute into the general formula;

x^-1/3 = 1/a^1/3

Also,
`a^{(1)/(x) } = \sqrt[x]{a}`

Hence;

`\frac{1}{x^{(1)/(3) } } = \frac{1}{\sqrt[3]{x} }`

This that the required expression is 1/∛x