Question

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

Answer 1

(-1)/x^((-3)/6)
=(-1) * 6 / x^(-3)
= -6 / x^-3
= -6x^3

Answer 2

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.