Answer
$b^{14}$
Work Step by Step
$(a^{2})^{-3}(a^{3}b)^{2}(b^{3})^{4}=a^{-6}*a^{6}*b^{2}*b^{12}=a^{-6+6}*b^{2+12}=1*b^{14}=b^{14}$
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