Answer
$\frac{a}{b^2}$
Work Step by Step
$\frac{b}{a^2}\times\frac{a^3}{b^3}=\frac{b\times a^3}{a^2\times b^3}=\frac{a^3b}{a^2b^3}=\frac{a^3b\div a^2b}{a^2b^3\div a^2b}=\frac{a}{b^2}$
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