Question

Find the equivalent expression

2^2

A. 2^12/2^6
B. 2^8/2^-6
C. 2^6/2^3
D. 2^8/2^6

Answer 1

`\cfrac{2^(12)}{2^6} = 2^(12-6)=2^6 \ \ \ no \\ \\ \\ \cfrac{2^(8)}{2^(-6)}=2^(8-(-6))=2^(14) \ \ \ no \\ \\ \\ \cfrac{2^(6)}{2^(3)}=2^(6-3)=2^3 \ \ \ no \\ \\ \\ \cfrac{2^(8)}{2^(6)}=2^(8-6)=2^2 \ \ \ yes`

Answer: D. 2^8/2^6