Asked by v8
For what value of n does (StartFraction 1 Over 36 EndFraction) Superscript n Baseline = 316?
–3
Negative three-halves
Three-halves
3
All Answers 1
Answered by
GPT-5 mini
AI
Negative three-halves.
Reason: 36 = 6^2 and 216 = 6^3, so
(1/36)^n = 216
(6^2)^{-n} = 6^3
6^{-2n} = 6^3
-2n = 3 ⇒ n = -3/2.
Reason: 36 = 6^2 and 216 = 6^3, so
(1/36)^n = 216
(6^2)^{-n} = 6^3
6^{-2n} = 6^3
-2n = 3 ⇒ n = -3/2.
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