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

4^-3/2
[4^1/2]^-3
2^-3
1/2^3
= 1/8

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.

Its 1/8.

4^-3/2

= 1 / sqrt (4^3)

1 / sqrt (64)

1/8

ANSWER: 1/8

4^(-3/2)
= ±√(4^-3)
= ±√(1/4^3)
= ±√(1/2^3 * 1/2^3)
= ±1/2^3
= ±1/8

4^-3/2=(2^2)^-3/2
=(2)^-3
=1/(2)^3
=1/8

1 / 4^(3/2) = 1 / 2³ = 1 / 8

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

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

1/8 or 0.125