please explain how to do this problem-- I would use mathmatical notation, but I can't on the computer =P
2007-06-14 14:07:24 · 4 answers · asked by SoFLy 2 in Science & Mathematics ➔ Mathematics
That's 5^1.5 / 5^2/3
5 ^ (9/6) / 5^ (4/6)
5 ^ (9 - 4/6)
5 ^ 5/6
2007-06-14 14:11:18 · answer #1 · answered by A M Frantz 7 · 1⤊ 0⤋
Yes you can.
square root of 125 = 11.1803399
third root of 25 = 2.92401774
11.1803399 / 2.92401774 = 3.82362246
2007-06-14 21:11:58 · answer #2 · answered by krahjerdi 2 · 0⤊ 1⤋
sqrt(125) = sqrt(5*25) = sqrt(25) * sqrt(5) = 5*(5^1/2) = 5^3/2
And,
cuberoot(25) = cuberoot(5^2) = 5^(2/3)
5^3/2 / 5^2/3 = 5^(3/2 - 2/3) = 5^(9/6-4/6) = 5^(5/6)
2007-06-14 21:13:16 · answer #3 · answered by whitesox09 7 · 1⤊ 0⤋
125 / 25^(1/3)
125 / (5^2)^(1/3)
125 / (5^((2)(1/3)))
125 / (5^(2/3))
(5^3) / (5^(2/3))
5^(3-(2/3))
5^(((3)(3)/3)-(2/3))
5^((9/3)-(2/3))
5^(7/3)
2007-06-14 21:20:18 · answer #4 · answered by Rey Arson II 3 · 0⤊ 1⤋