-625^ - 1 / 4
a. 1 / 5
b. -1 / 5
c. 5
d. -5
2007-12-29 00:22:41 · 6 answers · asked by . 1 in Science & Mathematics ➔ Mathematics
=-(5)^4(-1/4)
=-5^-1
=-1/5
B
2007-12-29 00:34:28 · answer #1 · answered by praman18 2 · 0⤊ 0⤋
-625 ^ -1/4= 4th root of 625=5 ^-1= -1/5
2007-12-29 09:53:27 · answer #2 · answered by Dave aka Spider Monkey 7 · 0⤊ 0⤋
A negative number cannot have a real, even numbered root.
An exponent of -1/4 is the same as the reciprocal of the fourth root of the base. Since your base is negative, the reciprocal of the fourth root would be i/5, or the square root of -1 over 5.
2007-12-29 09:46:35 · answer #3 · answered by Arnold K 2 · 0⤊ 0⤋
-625^ - 1 / 4
1/(-625^+1/4)
1/-[(5)^4]^1/4
1/-[5^1]
1/-5
-1/5
ANSWER: (b)
teddy boy
2007-12-29 08:44:38 · answer #4 · answered by teddy boy 6 · 0⤊ 0⤋
your expression is irational because you have negative value of radicand..
but if you have 625 ^-1/4
a is the anwer
2007-12-29 08:37:52 · answer #5 · answered by Synchronizers 3 · 0⤊ 0⤋
b.(-1/5)
2007-12-29 09:15:25 · answer #6 · answered by Kenneth Koh 5 · 0⤊ 0⤋