關於Simplify index既
以下題目全無括號
- Why (3^2)^n+1 = 3^2n+2 ?
Simplify the following.
- 3^n+1-3^n / 3^n
- 3^n+1-3^n-1 / 2乘3^n
中三數學題 急
2009-07-18 12:13 am
回答 (1)
2009-07-18 1:04 am
✔ 最佳答案
1. Based on the formula (a^n)^m = a^(nm)so (3^2)^(n + 1) = 3^[2(n + 1)] = 3^(2n + 2).
2.
Let 3^n = x
so 3^(n + 1) = (3^n)(3^1) = 3x
so the expression = (3x - x)/x = 2x/x = 2.
3.
3^(n + 1) = (3^n)(3^1) = 3x
3^(n - 1) = (3^n)(3^-1) = x/3
so the expression = (3x - x/3)/2x = (8x/3)/(2x) = 4/3.
收錄日期: 2021-04-25 22:38:39
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https://hk.answers.yahoo.com/question/index?qid=20090717000051KK01215