They are not equivalent. because (-2)^4 is in the parenthesis so the - before 2 are together and both will go to the 4 power so the answer will be: (-2)^4 = 16 but the other one is not in the parenthesis so the - will not go to the 4 power and the answer will be: -2^4 = -16 so 16 is not equivalent to -16 :))) i hope this is helpful have a nice day