What is (4a^3b^2)(3a^{-4}b^{-3}) ?

The solution to (4a^3b^2)(3a^{-4}b^{-3}) is (12)/(ab)

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simplify (4a^3b^2)(3a^{-4}b^{-3})

simplify

(4 a^{3} b^{2}) (3 a^{- 4} b^{- 3})

\frac{12}{ab}

Solution steps

(4 a^{3} b^{2}) (3 a^{- 4} b^{- 3})

Simplify

3 a^{- 4} b^{- 3} : \frac{3}{a ^{4} b ^{3}}

= 4 a^{3} b^{2} \frac{3}{a ^{4} b ^{3}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4 a ^{3} b ^{2} \cdot 3}{a ^{4} b ^{3}}

Simplify

\frac{a ^{3}}{a ^{4}} : \frac{1}{a}

= \frac{4 b ^{2} \cdot 3}{a b ^{3}}

Simplify

\frac{b ^{2}}{b ^{3}} : \frac{1}{b}

= \frac{4 \cdot 3}{ab}

Multiply the numbers:

4 \cdot 3 = 12

= \frac{12}{ab}

4 - \frac{3}{x ^{2}} + \frac{4}{x}

x^{4} + 12 x^{2} + 32

- 12 x + 12 x

\frac{- a}{a}

7 x^{2} + 4 x - 3

What is (4a^3b^2)(3a^{-4}b^{-3}) ?
The solution to (4a^3b^2)(3a^{-4}b^{-3}) is (12)/(ab)