Basic Math Examples

$\frac{a^{0} b^{4} \cdot (- b^{- 4})}{2 a b^{- 1}}$

Step 1

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

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Step 1.1

Move $b^{- 4}$ .

$\frac{a^{0} (b^{- 4} b^{4}) \cdot - 1}{2 a b^{- 1}}$

Step 1.2

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

$\frac{a^{0} b^{- 4 + 4} \cdot - 1}{2 a b^{- 1}}$

Step 1.3

Add $- 4$ and $4$ .

$\frac{a^{0} b^{0} \cdot - 1}{2 a b^{- 1}}$

Step 2

Simplify $a^{0} b^{0} \cdot - 1$ .

$\frac{- 1}{2 a b^{- 1}}$

Step 3

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

$\frac{- b}{2 a}$

Step 4

Move the negative in front of the fraction.

$- \frac{b}{2 a}$