Follow the definition of exponents and the rules of multiplying positive and negative numbers.
[tex] (-2)^4 = (-2)(-2)(-2)(-2) = 4(-2)(-2) = -8(-2) = 16 [/tex]
[tex] -2^4 = -(2^4) = -[2(2)(2)(2)] = -[4(2)(2)] = -[8(2)] = -[16] = -16 [/tex]
Answer: The third choice, 16 and -16
