For what value of y does 125 = (1/25) ^y-1

Answer:y=-1/2

Step-by-step explanation:

125 = (1/25) ^ (y-1)

5^3 = (5^ (-2)) ^ (y-1)

5^3=5^ (-2 (y-1))

The same base eliminate each other we then have

3=-2 (y-1)

3=-2y+2

Collect like terms

2y=2-3

2y=-1

Divide both sides by 2

2y/2=-1/2

y=-1/2

D. - 1/2