Algebra Examples

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

Step 1

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

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Step 1.1

Factor $3$ out of $3$ .

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

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $6$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 2

Move $x^{- \frac{1}{2}}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

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

Step 3

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\sqrt{x^{1}}$

Step 4

Anything raised to $1$ is the base itself.

$\sqrt{x}$