what is 4^-3/2 Please help!!!!!! :D?

2008-10-03 9:20 am
what is 4 to the power of (negative 3/2)
please help

回答 (12)

2008-10-03 9:24 am
✔ 最佳答案
4^-3/2
[4^1/2]^-3
2^-3
1/2^3
= 1/8
2008-10-03 4:31 pm
Means [(4) ^ -3] ^ 1/2={1/[(4 ^ +3)]} ^ 1/2 = (1/64) ^ 1/2=1/8
Any number to -power= the reciprocal of the No. to + that power.
2008-10-03 7:32 pm
Its 1/8.
2008-10-03 5:48 pm
4^-3/2

= 1 / sqrt (4^3)

1 / sqrt (64)

1/8

ANSWER: 1/8
2008-10-03 5:15 pm
4^(-3/2)
= ±√(4^-3)
= ±√(1/4^3)
= ±√(1/2^3 * 1/2^3)
= ±1/2^3
= ±1/8
2008-10-03 4:38 pm
4^-3/2=(2^2)^-3/2
=(2)^-3
=1/(2)^3
=1/8
2008-10-03 4:36 pm
1 / 4^(3/2) = 1 / 2³ = 1 / 8
2008-10-03 4:32 pm
4^-3/2
4 can be written2^2

(2^2)^-3/2

(2)^2*-3/2

2 in power gets cancelled

2^-3

1/2^3

1/8
2008-10-03 4:31 pm
x^(m/n) = n^/(x^m) (nth root of x to the m)
and x^ -m = 1/x^m
^/4 = 2
2^3 = 8
1/8
2008-10-03 4:31 pm
1/8 or 0.125


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