Simplify the quotient of powers ((p^4p^2q^7q^3)^2)/(p^10q^17)

 Exercise

$\left(p^4.p^2.q^7.q^3\right)^2:\left(p^{10}.q^{17}\right)$

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When multiplying exponents with same base we can add the exponents

$\frac{\left(p^{6}q^7q^3\right)^2}{p^{10}q^{17}}$

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When multiplying exponents with same base we can add the exponents

$\frac{\left(p^{6}q^{10}\right)^2}{p^{10}q^{17}}$

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The power of a product is equal to the product of it's factors raised to the same power

$\frac{p^{12}q^{20}}{p^{10}q^{17}}$

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Simplify the fraction $\frac{p^{12}q^{20}}{p^{10}q^{17}}$ by $p$

$\frac{p^{2}q^{20}}{q^{17}}$

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Simplify the fraction $\frac{p^{2}q^{20}}{q^{17}}$ by $q$

$p^{2}q^{3}$

$p^{2}q^{3}$

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