F.2次方數學

2013-09-13 12:02 am
咁好似
[(4^m)(8^2m)/16^m)]^2
4同8洗唔洗同base 姐系 4^m x 4^4m咁
同埋咩時候要同base 咩時候又唔洗

回答 (1)

2013-09-13 1:17 am
✔ 最佳答案
同base 會好D
例如[(4^m)(8^2m)/16^m)]^2
唔同Base係簡化唔到
因為
(a^x)(a^y)=a^(x+y)
(a^x)÷(a^y)=a^(x-y)
仲有8^2m 不= 4^4m
次方唔同 4^2 不= 4x2

8^2m
=(2^3)^2m
=2^(2x3)m
=2^6m

[(4^m)(8^2m)/16^m)]^2
=[(2^2m)(2^6m)/(2^8m)]^2
=[(2^8m)/(2^8m)]^2
=1

2013-09-12 17:21:11 補充:
其實要簡化一定要同BASE,除左冇代數的題目
例如:(4^2)(8^2)
直接計就得

唔明可以再問


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