Question

I need help, am not good at this

Answer 1

If z =1/2, which expression has the greatest value?

1. (z^-2 z^5)^-2 = (z^3)^-2 = 1/z^6 = 1/(1/2)^6 = 2^6 = 64

2. (z^3)^5 = z^15 = (1/2)^15 = 1/(2^15)

3. z^-6 z^4 = z^-2 = (1/2)^-2 = 1/2^2 = 1/4

4.-(z^2 z^-4)^-3 is negative 64