Algebra Examples

$w^{- 1} {(u^{6} v^{- 3} w^{- 1})}^{- 1}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{w} {(u^{6} v^{- 3} w^{- 1})}^{- 1}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{w} {(u^{6} \frac{1}{v^{3}} w^{- 1})}^{- 1}$

Step 3

Combine $u^{6}$ and $\frac{1}{v^{3}}$ .

$\frac{1}{w} {(\frac{u^{6}}{v^{3}} w^{- 1})}^{- 1}$

Step 4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{w} {(\frac{u^{6}}{v^{3}} \cdot \frac{1}{w})}^{- 1}$

Step 5

Combine.

$\frac{1}{w} {(\frac{u^{6} \cdot 1}{v^{3} w})}^{- 1}$

Step 6

Multiply $u^{6}$ by $1$ .

$\frac{1}{w} {(\frac{u^{6}}{v^{3} w})}^{- 1}$

Step 7

Change the sign of the exponent by rewriting the base as its reciprocal.

$\frac{1}{w} \cdot \frac{v^{3} w}{u^{6}}$

Step 8

Combine.

$\frac{1 (v^{3} w)}{w u^{6}}$

Step 9

Cancel the common factor of $w$ .

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Step 9.1

Cancel the common factor.

$\frac{1 (v^{3} w)}{w u^{6}}$

Step 9.2

Rewrite the expression.

$\frac{1 (v^{3})}{u^{6}}$

Step 10

Multiply $v^{3}$ by $1$ .

$\frac{v^{3}}{u^{6}}$