checking my answer(-1/125)^-4/3?

2008-08-27 11:36 am
i got 625

回答 (6)

2008-08-27 11:41 am
✔ 最佳答案
This is debatable. From a real number point of view, you can't take a non integral power of a negative number.
2008-08-27 6:50 pm
See! You can do it yourself (now).
2008-08-27 6:47 pm
CORRECT!! nice work
firstly ³√[1/(-1/125)⁴]
then, ³√[1/(1/125⁴)]
then, ³√[1/(1/5⁴ x 1/5⁴ x 1/5⁴)]
then, 1/(1/5⁴)
then, 1(5⁴/1)
finally, 5⁴
therefore, it = 625
2008-08-27 6:41 pm
(-1/125)^(-4/3)
= ³√[1/(-1/125)⁴]
= ³√[1/(1/125⁴)]
= ³√[1/(1/5⁴ x 1/5⁴ x 1/5⁴)]
= 1/(1/5⁴)
= 1(5⁴/1)
= 5⁴
= 625
2008-08-27 6:40 pm
Well, firstly 1/125 is 5^(-3)

So [(-5)^(-3)](^-4/3)
= (-5)^4
= 625

Yeah I got the same answer =)
2008-08-27 6:40 pm
Yes correct :D
參考: Calc


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