Precalculus Examples

$\frac{{(- 2 r)}^{4}}{{(- 2 r)}^{- 2}}$

Step 1

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

${(- 2 r)}^{4} {(- 2 r)}^{2}$

Step 2

Multiply ${(- 2 r)}^{4}$ by ${(- 2 r)}^{2}$ 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.

${(- 2 r)}^{4 + 2}$

Step 2.2

Add $4$ and $2$ .

${(- 2 r)}^{6}$

Step 3

Apply the product rule to $- 2 r$ .

${(- 2)}^{6} r^{6}$

Step 4

Raise $- 2$ to the power of $6$ .

$64 r^{6}$