Question

Which expression simplifies to (-5 · 2² · 2⁰)⁻² ? Please show work.

a. -80
b. -40
c. -1/40
d. 1/400

Answer 1

the answer is d. 2⁰ is 1 so you dont have to multiply that. (-5 x 4) ⁻² is -20⁻². -20⁻² = (1/-20)² ; 1 x 1 = 1; -20 x -20 = 400. so it is 1/400