Let's break this down step by step.
First, let's simplify the exponents:
12^(1/3) = ∛12 ≈ 2.2894285
6^(2/3) = ^(3)√6^2 = ∛(6^2) = ∛36 = 3
(0.5)^(1/3) = ∛0.5 ≈ 0.7937005
Now we multiply:
2.2894285 3 0.7937005 ≈ 5.4540916
Therefore, 12^(1/3) 6^(2/3) (0.5)^(1/3) is approximately 5.4540916.
Let's break this down step by step.
First, let's simplify the exponents:
12^(1/3) = ∛12 ≈ 2.2894285
6^(2/3) = ^(3)√6^2 = ∛(6^2) = ∛36 = 3
(0.5)^(1/3) = ∛0.5 ≈ 0.7937005
Now we multiply:
2.2894285 3 0.7937005 ≈ 5.4540916
Therefore, 12^(1/3) 6^(2/3) (0.5)^(1/3) is approximately 5.4540916.