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Step-by-step explanation:
∛2 * 4√2 * 12√32
= (2)¹/³ * (2)¹/⁴ * (2⁵)¹/¹²
= (2)¹/³ * (2)¹/⁴ * (2)⁵/¹²
= 2¹/³ ⁺ ¹/⁴ ⁺ ¹/¹² ( ∵ xᵃ * xᵇ = xᵃ⁺ᵇ)
Adding 1/3 + 1/4+ /12 = 4 + 3 + 1 / 12 = 8/12 = 2/3
= 2²/³
= ∛2²
= ∛4.
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