Basic Math Examples

$\frac{7 v^{- 8} w^{5}}{6 v^{2} w^{6}}$

Step 1

Move $v^{- 8}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{7 w^{5}}{6 v^{2} w^{6} v^{8}}$

Step 2

Multiply $v^{2}$ by $v^{8}$ by adding the exponents.

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Step 2.1

Move $v^{8}$ .

$\frac{7 w^{5}}{6 (v^{8} v^{2}) w^{6}}$

Step 2.2

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

$\frac{7 w^{5}}{6 v^{8 + 2} w^{6}}$

Step 2.3

Add $8$ and $2$ .

$\frac{7 w^{5}}{6 v^{10} w^{6}}$

Step 3

Cancel the common factor of $w^{5}$ and $w^{6}$ .

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Step 3.1

Factor $w^{5}$ out of $7 w^{5}$ .

$\frac{w^{5} \cdot 7}{6 v^{10} w^{6}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $w^{5}$ out of $6 v^{10} w^{6}$ .

$\frac{w^{5} \cdot 7}{w^{5} (6 v^{10} w)}$

Step 3.2.2

Cancel the common factor.

$\frac{w^{5} \cdot 7}{w^{5} (6 v^{10} w)}$

Step 3.2.3

Rewrite the expression.

$\frac{7}{6 v^{10} w}$