Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Consider the provided expression.

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

The above expression can be written as:

$\frac{-1}{x^{\frac{-1}{2}}}$

Now use the negative exponent rule: $\frac{1}{x^{-n}}=x^n$

By using the above rule:

$-1\times x^{\frac{1}{2}$

$-1\times \sqrt{x}$

$-\sqrt{x}$

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

Answer 2

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