If (a的2次方)(b的3次方)(a的5次方)(b的n次方)=(a的m次方)(b的6次方)
where m and n are positive integers. Find the value of m and n.
(我唔識用電腦打次方)
請高手幫忙計數
2010-12-12 11:51 pm
回答 (3)
2010-12-13 12:05 am
✔ 最佳答案
(a^2)(b^3)(a^5)(b^n)=(a^m)(b^6)(a^7)[b^(3+n)] = (a^m)(b^6)
by comparing the power, we have
m = 7 and n = 3
2010-12-12 17:25:21 補充：
(a^2)同(a^5) 可以夾埋 = a^(2+5) = a^7
(b^3)同(b^n) 夾 = b^(3+n)
跟住就可以靠比較兩邊 得出答案
2010-12-14 2:21 am
(a^2)(b^3)(a^5)(b^n) = (a^m)(b^6)
L.H.S. = a^(2+5)b^(3+n)
R.H.S. = (a^m)(b^6)
比較左方和右方的同類項，可得=
a^(2+5)= a^m
a^7 = a^m
m=7
b^(3+n) = b^6
3+n = 6
n=3
L.H.S. = a^(2+5)b^(3+n)
R.H.S. = (a^m)(b^6)
比較左方和右方的同類項，可得=
a^(2+5)= a^m
a^7 = a^m
m=7
b^(3+n) = b^6
3+n = 6
n=3
2010-12-13 1:35 am
But if a = b, the answers would be different!
收錄日期: 2021-04-13 17:42:43
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20101212000051KK00725