Algebra Examples

$\frac{a^{3} b^{- 2} c^{4} d}{a^{- 2} b^{3} c^{2} d^{- 3}}$

Step 1

Move $b^{- 2}$ to the denominator in $\frac{a^{3} b^{- 2} c^{4} d}{a^{- 2} b^{3} c^{2} d^{- 3}}$ using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{a^{3} c^{4} d}{a^{3} c^{4} d}$

Step 2

Move $a^{- 2}$ to the numerator in $\frac{a^{3} b^{- 2} c^{4} d}{a^{- 2} b^{3} c^{2} d^{- 3}}$ using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{a^{5} c^{4} d}{a^{5} c^{4} d}$

Step 3

Move $d^{- 3}$ to the numerator in $\frac{a^{3} b^{- 2} c^{4} d}{a^{- 2} b^{3} c^{2} d^{- 3}}$ using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{a^{5} c^{4} d^{4}}{a^{5} c^{4} d^{4}}$