Answer:
D. (∜(2x-8)^4=(-∜(2x+8)^4
Explanation:
∜(2x-8)+∜(2x+8)=0
Rearrange the radical on the left side of the equation
∜(2x-8)=-∜(2x+8)
Raise both sides to the 4 power
(∜(2x-8))^4=(-∜(2x+8))^4
Determine the sign for exponential or radical expressions
(∜(2x-8))^4=(∜(2x+8))^4
Simplify the radical expression
2x-8=(∜(2x+8))^4
Simplify the radical expression
2x-8=2x+8
Rearrange variables to the left side of the equation
2x-2x=8+8
Apply the Inverse Property of Addition
0=8+8
Simplify
0=16
No solution
The step that makes the most sense is D. (∜(2x-8)^4=(-∜(2x+8)^4