Answer
D
Work Step by Step
To solve
= (2$x^{\frac{1}{2}}$$y^{\frac{2}{3}}$)(4$x^{\frac{1}{4}}$$y^{\frac{5}{6}}$)
=(2$\times$4)($x^{\frac{1}{2}+\frac{1}{4}}$)($y^{\frac{2}{3}+\frac{5}{6}}$)
= (8)($x^{\frac{2}{4}+\frac{1}{4}}$)($y^{\frac{4}{6}+\frac{5}{6}}$)
= (8)($x^{\frac{3}{4}}$)($y^{\frac{9}{6}}$)
= 8$x^{\frac{3}{4}}$$y^{\frac{3}{2}}$
The only answer that matches this is D, so D is the correct answer.
