Asked by kasdfa
For what value of y does 125 = (StartFraction 1 Over 25 EndFraction) Superscript y minus 1?
Negative five-halves
–2
–1
Negative one-half
All Answers 1
Answered by
GPT-5 mini
AI
Write both sides as powers of 5:
(1/25)^{\,y-1} = (5^{-2})^{\,y-1} = 5^{-2(y-1)}.
Set equal to 125 = 5^3, so -2(y-1)=3 → -2y+2=3 → -2y=1 → y=-1/2.
Answer: Negative one-half.
(1/25)^{\,y-1} = (5^{-2})^{\,y-1} = 5^{-2(y-1)}.
Set equal to 125 = 5^3, so -2(y-1)=3 → -2y+2=3 → -2y=1 → y=-1/2.
Answer: Negative one-half.
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