Pre-Algebra Examples

$\frac{r}{r^{- 8} r^{- 1}}$

Step 1

Multiply $r^{- 8}$ by $r^{- 1}$ by adding the exponents.

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Step 1.1

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

$\frac{r}{r^{- 8 - 1}}$

Step 1.2

Subtract $1$ from $- 8$ .

$\frac{r}{r^{- 9}}$

Step 2

Move $r^{- 9}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$r \cdot r^{9}$

Step 3

Multiply $r$ by $r^{9}$ by adding the exponents.

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Step 3.1

Multiply $r$ by $r^{9}$ .

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Step 3.1.1

Raise $r$ to the power of $1$ .

$r^{1} r^{9}$

Step 3.1.2

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

$r^{1 + 9}$

Step 3.2

Add $1$ and $9$ .

$r^{10}$