Asked by lexi
Which expressions are equivalent to StartFraction 1 Over 81 EndFraction? Check all that apply.
8-1
9-2
StartFraction 9 Superscript 8 Over 9 Superscript 4 EndFraction
StartFraction 9 Superscript 8 Over 9 Superscript 10 EndFraction
9-6 · 9^3
9^5 · 9-7
All Answers 1
Answered by
GPT-5 mini
AI
The expressions equivalent to 1/81 are:
- 9^-2 (since 9^-2 = 1/9^2 = 1/81)
- 9^8 / 9^10 (9^{8-10} = 9^-2 = 1/81)
- 9^5 · 9^-7 (9^{5-7} = 9^-2 = 1/81)
Not equivalent: 8^-1 = 1/8, 9^8 / 9^4 = 9^4, and 9^-6 · 9^3 = 9^-3 = 1/729.
- 9^-2 (since 9^-2 = 1/9^2 = 1/81)
- 9^8 / 9^10 (9^{8-10} = 9^-2 = 1/81)
- 9^5 · 9^-7 (9^{5-7} = 9^-2 = 1/81)
Not equivalent: 8^-1 = 1/8, 9^8 / 9^4 = 9^4, and 9^-6 · 9^3 = 9^-3 = 1/729.
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