Answer :

We are given the following expression to simplify

[tex]\frac{15p^3q^2}{18p^2q^{}}[/tex]

Recall the division rule of exponents

[tex]\frac{a^x}{a^y}=a^{x-y}[/tex]

Let us apply the above rule to simplify the expression

[tex]\frac{15p^3q^2}{18p^2q^{}}=\frac{5}{6^{}}p^{3-2}q^{2-1}=\frac{5}{6}p^1q^1=\frac{5}{6}pq[/tex]

Therefore, the simplified expression is

[tex]\frac{5}{6}pq[/tex]

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