Rewrite in simplest radical form (-1)/x^((-3)/6) . Show each step of your process.

Question

asked Jul 28, 2018 132k views

2 Answers

Starteleport · Answer 1 · 2018-08-01T04:10:15+0000

Answer:

The simplest radical form of
$\frac{-1}{x^{(-3)/(6)}}$ is -√x.

Explanation:

Consider the provided expression.

$\frac{-1}{x^{(-3)/(6)}}$

The above expression can be written as:

$\frac{-1}{x^{(-1)/(2)}}$

Now use the negative exponent rule:
(1)/(x^(-n))=x^n

By using the above rule:

$-1* x^{(1)/(2)$

-1* √(x)

-√(x)

Hence, the simplest radical form of
$\frac{-1}{x^{(-3)/(6)}}$ is -√x.