Question

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

Answer 1

Answer:

1/∛x

Step-by-step 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, $a^{\frac{1}{x} } = \sqrt[x]{a}$

Hence;

$\frac{1}{x^{\frac{1}{3} } } = \frac{1}{\sqrt[3]{x} }$

This that the required expression is 1/∛x