You would get an imaginary number... or i
Reason being that -1^(4/3) is actually sqrt^4((-1^3))
If you put -1 to the third power... you get -1
If you try to fourth root -1. You cant. This is why you get error because it's an imaginary number.
\({(-1)}^{4/3}\)
\(\sqrt[3]{{(-1)}^{4}}\)
\(\sqrt[3]{(-1)(-1)(-1)(-1)}\)
\(\sqrt[3]{1(-1)(-1)}\)
\(\sqrt[3]{(-1)(-1)}\)
\(\sqrt[3]{1}\)
\(1\)
.