27^ 4/3
2007-07-08 15:05:50 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
27^(4/3) = (27^(1/3))^4
27^(1/3) = 3 (since 3*3*3 = 27)
3^4 = 81
So 27^(4/3) = 81
2007-07-08 15:09:43 · answer #1 · answered by whitesox09 7 · 0⤊ 0⤋
The 1/3 in the exponent means take the cubed root of 27, which is 3. Then take this to the fourth power: 3^4 = 81
2007-07-08 22:09:19 · answer #2 · answered by Tom K 2 · 1⤊ 0⤋
You need to raise 27 to the 4th power and take the cube root. You can do that in either order, and I highly recommend taking the cube root first since 27^4 is large to do by hand.
27^(4/3) = [27^(1/3)]^4 = 3^4 = 81.
2007-07-08 22:11:14 · answer #3 · answered by TFV 5 · 0⤊ 0⤋
27^(4/3) = 3^4 = 81
2007-07-12 16:38:33 · answer #4 · answered by Como 7 · 0⤊ 0⤋
27^ 4/3 = (3^3)^4/3 = 3^4 = 81
2007-07-08 22:10:20 · answer #5 · answered by cllau74 4 · 0⤊ 0⤋
27^ 4/3
= (3^3)^4/3
= 3^4 = 81
2007-07-08 22:11:37 · answer #6 · answered by ironduke8159 7 · 0⤊ 0⤋
well i would read it as, 27 power of 4 to the root of 3, which would be
27^4 = 531,441
and then find the third (3) root of 531, 1441 which will be 81 if im not mistaken
i hope thats what you meant
2007-07-08 22:28:17 · answer #7 · answered by Mauri 1 · 0⤊ 0⤋