Final answer:
The simplest form of root to the power of 4 162x⁶ is 18x⁴⁵.
Step-by-step explanation:
To find the simplest form of √4 162x⁶ in terms of power, we need to break down the given expression. First, let's simplify the root: √4 = 2. Next, let's simplify the power: (162x⁶)⁴ = (2·(3·3)⁶·x·x·x·x·x)·/2·/2·/2·/2 = (2·9·9⁶·x·x·x·x) = 18x·x·x·x = 18xₙ.