how do i evaluate (27)^-4/3?

👨🏻‍🏫 學術台數學

[匿名]

2009-07-05 6:57 am

(27)^-4/3

回答 (4)

nozar nazari

2009-07-05 7:06 am

✔ 最佳答案

3^-1/4=1/3^4=1/81

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[匿名]

2009-07-05 2:01 pm

27^(-4/3)
= 1/27^(4/3) ................. note that (3)Â³ = 27
= 1/((3)Â³)^(4/3)
= 1/ (3)^4
= 1/81

Answer: 1/81

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An ESL Learner

2009-07-05 5:08 pm

27^(-4/3)
= Â³â(27^-4)
= Â³â[1/(27^4)]
= Â³â{1/[(3^3)^4]}
= Â³â{1/[(3^4)^3]}
= 1/(3^4)
= 1/81

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[匿名]

2009-07-05 2:10 pm

( 27) ^-4/3= cube root of 27 raise to the -4 power

cube root of 27=3 ^-4 = 3^ 1/4 = 1/81

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