Find the value of 64^-2/3?
回答 (6)
2008-02-12 1:23 pm
✔ 最佳答案
64^-2/31/64^2/3
1/64^2/3
this is nothing but 1 divided by cube root of 64 sqaure
1/64^2/3
1/16
.0625
2008-02-12 9:19 pm
x^-n = 1/x^n
64^-2/3 = 1/(64^2/3)
= 1/((4^3(2/3))
= 1/(2^2(2))
= 1/(2^4)
= 1/16
64^-2/3 = 1/(64^2/3)
= 1/((4^3(2/3))
= 1/(2^2(2))
= 1/(2^4)
= 1/16
2008-02-12 9:21 pm
1/ 64^2/3 = 1/ ³â4096 = 1/16
2008-02-12 9:51 pm
1 / 64^(2/3) = 1 / 4² = 1 / 16
2008-02-12 9:25 pm
64^-2/3
= 3â64^-2
= 3â1/64^2
= 3â1/4096
= 3â1/16 x 1/16 x 1/16
= 1/16
3â = extract the cube root
= 3â64^-2
= 3â1/64^2
= 3â1/4096
= 3â1/16 x 1/16 x 1/16
= 1/16
3â = extract the cube root
2008-02-12 9:22 pm
64^-2/3
= (64^1/3)^-2
= 4^-2
= 1/4^2
=1/16
= (64^1/3)^-2
= 4^-2
= 1/4^2
=1/16
收錄日期: 2021-05-01 09:55:24
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20080212051446AA6Y515