Answer:
6
Step-by-step explanation:
216 can be written as a product of its prime factors in the following way: 216=23 × 33
∛(216) =∛(23 x 33) =∛(23) × ∛(33)
∛(23 x 33) = ∛(23) x ∛(33)
Simplify ∛(23) x ∛(33)
Simplify ∛(23)
Using the exponent "product rule", we know...
∛(23) = ((2)3)⅓ = 2(3×⅓) = 21 = 2
Simplify ∛(33)
∛(33) = ((3)3)⅓ = 3(3×⅓) = 31 = 3
Resulting in
∛(216) = 2 × 3=6
