Why is (-1/4)^-1.5 equal to a non-real number?
First, consider that -1.5 is -3/2 and a negative exponent takes the reciprocal.
\((-1.4)^-3/2 \) \(1/(-1.4)^-3/2\)
\(1/ \sqrt{-1.4^3}\) \(1/\sqrt{-2.744}\)
\(1/\sqrt{2.744}i\)
The square root of a negative number is an imaginary number.
