^4√(d-3e)^2 (fourth root of (d-3e)^2)

that would be just square root.

√(d-3e)

(x^2)^(1/4) = x^(1/2)

To find the fourth root of (d - 3e)^2, you can follow these steps:

Step 1: Start with the expression (d - 3e)^2.

Step 2: Simplify the expression inside the square root. To do this, distribute the exponent of 2 to both the terms inside the parentheses.

(d - 3e)^2 = (d - 3e) × (d - 3e)
= d × d + d × (-3e) + (-3e) × d + (-3e) × (-3e)
= d^2 - 3de - 3de + 9e^2
= d^2 - 6de + 9e^2

Step 3: Take the fourth root of the simplified expression.

^4√(d^2 - 6de + 9e^2)

And that's the final answer.