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27 ^ -4/3

2006-11-15 02:29:55 · 5 answers · asked by Anonymous in Education & Reference Homework Help

5 answers

Alrite step by step.

Neg sign means it's a fraction of one over the evaluated amount.

1/(27^4/3)

Raise 27 to the 4th
531441

and take the cube root
531441^(1/3) = 81

So with the neg exponent, this equals 1/81 or .01235 w/ 5 digits.

2006-11-15 02:42:21 · answer #1 · answered by Mikey C 5 · 0 0

27^ -4/3 = 1/27 ^4/3
by taking the reciprocal of 27 the -4/3 changes to 4/3
(for example 2^ -1= 1/2^1)
1/27^ 4/3 = (1/27 ^1/3)^4

u wud ask y not (1/27^1/4)^3 this is because you cant get a whole number when u do that but u can wen u use the 1/3 instead
cube root of 27 is 3 since 3*3*3=27
1/27^4/3= (1/3)^4
=(1/3)*(1/3)*(1/3)*(1/3)
=1/81

2006-11-15 10:44:24 · answer #2 · answered by brawneyedempress 3 · 0 0

27 is 3 power 3. so the expression goes to 3 power 3 whole power (-4/3) expressed as (3^3)^(-4/3). (x^n)^m is equal to x^(n*m). so it goes to 3^(3* (-4/3) ). which is equal to 3^(-4). so 3 power -4 is the answer. whish is equal to 1/3^4. or you can simply calculate it as 1/81=0.012345. All the best.

2006-11-15 10:48:13 · answer #3 · answered by nag K 2 · 0 0

Um do your own homework I 've been out of school for 5 years

2006-11-15 10:33:13 · answer #4 · answered by jillybean 3 · 0 2

take your calculator and divide .0027 by 3

2006-11-15 10:37:36 · answer #5 · answered by Anonymous · 0 2

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