Final answer:
The range of powers for the camera's zoom lens is 12.5 D to 5 D.
Step-by-step explanation:
The power of a lens is given by the formula:
Power (P) = 1 / focal length (f)
Where the focal length is given in meters. To convert 80.0 mm and 200 mm to meters, we divide by 1000. So, the range of powers for the camera's zoom lens is:
P = 1 / (80.0/1000) to 1 / (200/1000)
= 1 / 0.08 to 1 / 0.2
= 12.5 D to 5 D
Therefore, the range of powers for the camera's zoom lens is 12.5 D to 5 D.