Finite Math Examples

$\frac{{(6 u)}^{- 4}}{{(6 u)}^{- 1}}$

Step 1

Move ${(6 u)}^{- 4}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{{(6 u)}^{- 1} {(6 u)}^{4}}$

Step 2

Multiply ${(6 u)}^{- 1}$ by ${(6 u)}^{4}$ 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.

$\frac{1}{{(6 u)}^{- 1 + 4}}$

Step 2.2

Add $- 1$ and $4$ .

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

Step 3

Simplify the denominator.

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Step 3.1

Apply the product rule to $6 u$ .

$\frac{1}{6^{3} u^{3}}$

Step 3.2

Raise $6$ to the power of $3$ .

$\frac{1}{216 u^{3}}$