兩條化簡數

2012-09-09 9:12 pm
1.化簡(2a^3*b^-2)^-2, 答案以正指數表示。

2. 化簡3^n-1 + 3^n+1/3^n

回答 (2)

2012-09-09 9:56 pm
✔ 最佳答案
1.
(2 a^3 * b^-2)^-2
= 2^-2 * a^-6 * b^4
= (1/4) * (1/a^6) * b^4
= b^4 / 4a^6


2.
[3^(n-1) + 3^(n+1)] / 3^n
= [3^(n-1) + 3^2*3^(n-1)] / 3*3^(n-1)
= (1+9)*3^(n-1) / 3*3^(n-1)
= 10/3
參考: micakie
2012-09-09 11:12 pm
1.
(2a^3*b^-2)^-2
=2^-2 * a^-6 * b^4
=(b^4)/(4a^6)

2.
3^n-1 + 3^n+1/3^n
=(3^n)(3^-1+3)/3^n
=10/3


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