J.B.
You raise both sides to 4. So 5^4 = (y^(1/4))^4. So then 5^4 = y, y = 625. You do the same thing to the -2, raising it to 4.
To clear a fractional exponent, you just raise it to the reciprocal (so for 1/3, you raise to 3...for 2/5, you raise to 5/2 etc.).
Hope that helps...