We write this as 12p^3q^54pq = (124 ) (p^3p ) (q^5q ) = 3p^3 1 q^5 1 = 2p^2q^4 . ...

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Power of a Power

Simplify 12...

Question

Simplify $\frac{12 p^{3} q^{5}}{4 p q}$

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Solution

We write this as
$\frac{12 p^{3} q^{5}}{4 p q} = (\frac{12}{4}) (\frac{p^{3}}{p}) (\frac{q^{5}}{q}) = 3 p^{3 - 1} q^{5 - 1} = 2 p^{2} q^{4}$ .

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