Simplify the Radical Expression 1/(x^(-3/6))

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

Step 1

Move $x^{\frac{- 3}{6}}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

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

Step 2

Cancel the common factor of $- 3$ and $6$ .

Factor $3$ out of $- 3$ .

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

Cancel the common factors.

Factor $3$ out of $6$ .

$x^{- \frac{3 \cdot - 1}{3 \cdot 2}}$

Cancel the common factor.

$x^{- \frac{3 \cdot - 1}{3 \cdot 2}}$

Rewrite the expression.

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

Step 3

Move the negative in front of the fraction.

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

Step 4

Multiply $- - \frac{1}{2}$ .

Multiply $- 1$ by $- 1$ .

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

Multiply $\frac{1}{2}$ by $1$ .

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