Answer
$\sqrt[15] {64a^{3}b^{5}}$
Work Step by Step
$\sqrt[3] b\sqrt[5] {4a}=b^{1/3}(4a)^{1/5}=b^{5/15}(4a)^{3/15}=(b^{5}(4a)^{3})^{1/15}=\sqrt[15] {64a^{3}b^{5}}$
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