Basic Math Examples

${(- v u^{3})}^{0} \cdot u^{0} v^{- 4}$

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 1.1

Apply the product rule to $- v u^{3}$ .

${(- v)}^{0} {(u^{3})}^{0} \cdot (u^{0} v^{- 4})$

Step 1.2

Apply the product rule to $- v$ .

${(- 1)}^{0} v^{0} {(u^{3})}^{0} \cdot (u^{0} v^{- 4})$

Step 2

Multiply $v^{0}$ by $v^{- 4}$ by adding the exponents.

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Step 2.1

Move $v^{- 4}$ .

${(- 1)}^{0} (v^{- 4} v^{0}) {(u^{3})}^{0} \cdot u^{0}$

Step 2.2

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

${(- 1)}^{0} v^{- 4 + 0} {(u^{3})}^{0} \cdot u^{0}$

Step 2.3

Add $- 4$ and $0$ .

${(- 1)}^{0} v^{- 4} {(u^{3})}^{0} \cdot u^{0}$

Step 3

Simplify ${(- 1)}^{0} v^{- 4} {(u^{3})}^{0} \cdot u^{0}$ .

$v^{- 4}$

Step 4

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

$\frac{1}{v^{4}}$