Question

Rewrite in simplest radical form 1 over the quantity x to the negative three sixths end quantity. show each step of your process.

Answer 1

Applying the property of exponents, the simplest radical form of $\frac{1}{x^{-\frac{3}{6} }}$ is: $\sqrt{x}$.

What is the Property of Exponents?

The property of exponents that can be used to solve this problem are:

$a^{-m} = \frac{1}{a^m} \\\\ a^{\frac{1}{2} } = \sqrt{a}$

Given the expression, $\frac{1}{x^{-\frac{3}{6} }}$, applying the property of exponents, we would simplify the expression as shown below:

$\frac{1}{x^{-\frac{3}{6} }} = x^{\frac{3}{6} }$

Reduce the fraction

$= x^{\frac{1}{2} }\\\\ = \sqrt{x}$

Therefore, $\frac{1}{x^{-\frac{3}{6} }} = \sqrt{x}$

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