Simplify: (-8/27)^-2/3?

2009-07-14 7:08 am

回答 (3)

2009-07-14 7:18 am
✔ 最佳答案
=[(-2/3)^3]^(-2/3)=
==-2/3^(-2)=(-3/2)^2=9/4
GOOD LUCK,on your studies.
2009-07-14 8:08 am
(-8/27)^(-2/3)
= ³√[(-8/27)^-2]
= ³√[1/(-8/27)^2]
= ³√[1/(-2^3/3^3)^2]
= ³√[1/(-2^2/3^2)^3]
= 1/(2^2/3^2)
= 1/(4/9)
= 1(9/4)
= 9/4
2009-07-14 7:14 am
(-8/27)^(-2/3)
= (-27/8)^(2/3)
= (-3/2)^2
= 9/4


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