Algebra Examples

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

Step 1

Multiply the exponents in ${(x^{- 2})}^{- \frac{1}{2}}$ .

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Step 1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

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

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Move the leading negative in $- \frac{1}{2}$ into the numerator.

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

Step 1.2.2

Factor $2$ out of $- 2$ .

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

Step 1.2.3

Cancel the common factor.

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

Step 1.2.4

Rewrite the expression.

$x^{- - 1}$

Step 1.3

Multiply $- 1$ by $- 1$ .

$x^{1}$

Step 2

Simplify.

$x$