Let's break this down step by step.
First, let's simplify the exponents:
12^1/31/31/3 = ∛12 ≈ 2.2894285
6^2/32/32/3 = ^333√6^2 = ∛626^262 = ∛36 = 3
0.50.50.5^1/31/31/3 = ∛0.5 ≈ 0.7937005
Now we multiply:
2.2894285 3 0.7937005 ≈ 5.4540916
Therefore, 12^1/31/31/3 6^2/32/32/3 0.50.50.5^1/31/31/3 is approximately 5.4540916.
Let's break this down step by step.
First, let's simplify the exponents:
12^1/31/31/3 = ∛12 ≈ 2.2894285
6^2/32/32/3 = ^333√6^2 = ∛626^262 = ∛36 = 3
0.50.50.5^1/31/31/3 = ∛0.5 ≈ 0.7937005
Now we multiply:
2.2894285 3 0.7937005 ≈ 5.4540916
Therefore, 12^1/31/31/3 6^2/32/32/3 0.50.50.5^1/31/31/3 is approximately 5.4540916.