Answer
$256x^9y^{13}$
Work Step by Step
$(4xy)^3(2x^3y^5)^2=(4^3)(x^3)(y^3)(2^2)(x^3)^2(y^5)^2=(64)(x^3)(y^3)(4)(x^{(3\times2)})(y^{(5\times2)})=(64)(x^3)(y^3)(4)(x^6)(y^{10})=256(x^{(3+6)})(y^{(3+10)})=256x^9y^{13}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.