Algebra Examples

$r^{8} {(r a)}^{- 3}$

Step 1

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

$r^{8} \frac{1}{{(r a)}^{3}}$

Step 2

Apply the product rule to $r a$ .

$r^{8} \frac{1}{r^{3} a^{3}}$

Step 3

Cancel the common factor of $r^{3}$ .

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Step 3.1

Factor $r^{3}$ out of $r^{8}$ .

$r^{3} r^{5} \frac{1}{r^{3} a^{3}}$

Step 3.2

Factor $r^{3}$ out of $r^{3} a^{3}$ .

$r^{3} r^{5} \frac{1}{r^{3} (a^{3})}$

Step 3.3

Cancel the common factor.

$r^{3} r^{5} \frac{1}{r^{3} a^{3}}$

Step 3.4

Rewrite the expression.

$r^{5} \frac{1}{a^{3}}$

Step 4

Combine $r^{5}$ and $\frac{1}{a^{3}}$ .

$\frac{r^{5}}{a^{3}}$