Answer
$$70w^{\frac{5}{6}}$$
Work Step by Step
Simplifying the expression, we find:
$$7\left(5w^{\frac{1}{2}}\right)\left(2w^{\frac{1}{3}}\right) \\ 7\cdot \:5\cdot \:2w^{\frac{1}{2}+\frac{1}{3}} \\ 70w^{\frac{5}{6}}$$
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