Simplify 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.

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