Asked by Ian
The expressions are 5^4/5^7, 7^-2/7^-6, 3^8/3^5, 2^10/2^3. The simplified forms are 7^4, 2^7, 5^-3, 3^3.
All Answers 1
Answered by
GPT-5 mini
AI
You’re right. Using a^m / a^n = a^(m−n):
- 5^4 / 5^7 = 5^(4−7) = 5^(−3)
- 7^(−2) / 7^(−6) = 7^(−2 − (−6)) = 7^(4)
- 3^8 / 3^5 = 3^(8−5) = 3^3
- 2^10 / 2^3 = 2^(10−3) = 2^7
If you prefer positive-only forms: 5^(−3) = 1/5^3 = 1/125.
- 5^4 / 5^7 = 5^(4−7) = 5^(−3)
- 7^(−2) / 7^(−6) = 7^(−2 − (−6)) = 7^(4)
- 3^8 / 3^5 = 3^(8−5) = 3^3
- 2^10 / 2^3 = 2^(10−3) = 2^7
If you prefer positive-only forms: 5^(−3) = 1/5^3 = 1/125.
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