checking my answer(-1/125)^-4/3?

This is debatable. From a real number point of view, you can't take a non integral power of a negative number.

See! You can do it yourself (now).

CORRECT!! nice work
firstly ³√[1/(-1/125)⁴]
then, ³√[1/(1/125⁴)]
then, ³√[1/(1/5⁴ x 1/5⁴ x 1/5⁴)]
then, 1/(1/5⁴)
then, 1(5⁴/1)
finally, 5⁴
therefore, it = 625

(-1/125)^(-4/3)
= ³√[1/(-1/125)⁴]
= ³√[1/(1/125⁴)]
= ³√[1/(1/5⁴ x 1/5⁴ x 1/5⁴)]
= 1/(1/5⁴)
= 1(5⁴/1)
= 5⁴
= 625

Well, firstly 1/125 is 5^(-3)

So [(-5)^(-3)](^-4/3)
= (-5)^4
= 625

Yeah I got the same answer =)

Yes correct :D