2007-05-22 13:23:56 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
(2/3)^1=2/3
(2/3)^2=2/3*2/3=4/9
(2/3)^3=2/3*2/3*2/3=8/27
2007-05-22 13:30:21 · answer #1 · answered by alpha 7 · 0⤊ 0⤋
Power as a concept refers to a thing multiplied times itself.
3 to the power of 3=3x3x3 or 27.
So in your example, 2/3 to the power of 1 is 2/3.
2/3 to the power of two is 4/9.
And 2/3 to the power of three is 8/27.
2007-05-22 20:33:21 · answer #2 · answered by Robert David M 7 · 0⤊ 0⤋
The power distributes over numerator and denominator:
2/3, 4/9, 8/27
2007-05-22 20:27:40 · answer #3 · answered by jsardi56 7 · 0⤊ 0⤋
(1) n^0 = 1
(2) n^1 = n
(3) n^p means n used as a factor p times...
n * n * n * n * . . . * n
1 . 2 . 3 . 4 . . . . . ..p
According the the second item listed above, (2/3)^1 = 2/3
(2/3)² = (2/3)(2/3) = 4/9 according to item 3 listed above
(23)³ = (2/3)(2/3)(2/3) = 8/27, also according to item 3 listed above.
2007-05-22 20:42:05 · answer #4 · answered by gugliamo00 7 · 0⤊ 0⤋
(2/3)^1=2/3
(2/3)^2=2^2/3^2=4/9
(2/3)^3=2^3/3^3=8/27
2007-05-22 20:28:13 · answer #5 · answered by yupchagee 7 · 0⤊ 0⤋
2/3
4/9
8/27
2007-05-22 20:26:20 · answer #6 · answered by richardwptljc 6 · 0⤊ 0⤋