(-1)^(4/4) = 1 or -1?

2012-12-12 12:05 am
(-1)^(4/4) = 1 or -1?

回答 (3)

2012-12-12 12:11 am
✔ 最佳答案
當然係 -1

因為
(-1)^(4/4)
=(-1)^(1)
=-1
2012-12-12 12:48 am
負負得正這個遊戲規則不適用於開方根號內, 否則:

i = √(-1)

i^2 = √(-1) √(-1)

= √[(-1)(-1)]

= √1

= 1
2012-12-12 12:19 am
To help:
How would you explain:
(- 1)^(4/4) = ∜[(- 1)⁴] = ∜1 = 1


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