Answer
$9x^{4a+2b}y^{-6b}$
Work Step by Step
$(3x^{2a+b}y^{-3b})^{2}=3x^{2a+b}y^{-3b}\times3x^{2a+b}y^{-3b}=(3\times3)\times(x^{2a+b+2a+b})\times(y^{-3b+(-3b)}=9x^{4a+2b}y^{-6b}$
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