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Since base is common, apply the product of powers property: a^m · aⁿ = a^{m + n}.

3w³ · w² =  3 · w³ · w²

= 3 · w^{3 + 2}

= 3 · w⁵                     (Add exponents: 3 + 2 = 5)

= 3w⁵

Product of  3w³ · w² is 3w⁵.