We have (-125)^4/3 = ((-5)^3)^4/3 = (-5)^3 (4/3) = (-5)^4 = 625.

jmc

algebra junior

Problem

Evaluate

(- 125)^{4/3}

Solution

We have

(- 125)^{4/3} = ((- 5)^{3})^{4/3} = (- 5)^{3 \cdot (4/3)} = (- 5)^{4} = 625 .

Final answer

625