Algebra Examples

$\sqrt{\frac{w^{- 1}}{w^{- 2}}}$

Step 1

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

$\sqrt{w^{- 1} w^{2}}$

Step 2

Multiply $w^{- 1}$ by $w^{2}$ by adding the exponents.

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Step 2.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\sqrt{w^{- 1 + 2}}$

Step 2.2

Add $- 1$ and $2$ .

$\sqrt{w^{1}}$

Step 3

Simplify $w^{1}$ .

$\sqrt{w}$