what is 27^(2/3)?

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2007-08-05 02:40:19 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

27^(2/3) = (27^(1/3))^2

27^(1/3) = 3

3^2 = 9.

2007-08-05 03:04:45 · answer #1 · answered by Anonymous · 0⤊ 0⤋

What is 27 ^(2/3)?

This can be written as

(27^2)^1/3 = 729 ^(1/3)

now 9 *9 = 81

and 81 * 9 = 729

so 729^(1/3) = 9

or 27^(2/3) = 9

2007-08-05 03:06:42 · answer #2 · answered by rsraszka 3 · 0⤊ 0⤋

27 = 3^3

27^(2/3) = (3^3)^(2/3) = 3^(3 * 2/3) = 3^2 = 9

2007-08-05 03:14:11 · answer #3 · answered by Amit Y 5 · 0⤊ 0⤋

27=2^3
break the power into two sets
so 27^[1/3]=2^[3*1/3]=2
nd now 2^2=4

2007-08-05 02:58:49 · answer #4 · answered by titu-the matrix 2 · 0⤊ 3⤋