Answer
$500^{1/6}$
Work Step by Step
$\sqrt {5}*\sqrt[3] 2$
$5^{1/2}*2^{1/3}$
$5^{1/2*3/3}*2^{1/3*2/2}$
$5^{3/6}*2^{2/6}$
$(5^3)^{1/6}*(2^2)^{1/6}$
$(125)^{1/6}*(4)^{1/6}$
$500^{1/6}$
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