12+4/2^3-2^2
Simplify the following:
12+4/2^3-2^2
2^3 = 2×2^2:
12+4/2×2^2-2^2
2^2 = 4:
12+4/(2×4)-2^2
2×4 = 8:
12+4/8-2^2
The gcd of 4 and 8 is 4, so 4/8 = (4×1)/(4×2) = 4/4×1/2 = 1/2:
12+1/2-2^2
2^2 = 4:
12+1/2-4
Put 12+1/2-4 over the common denominator 2. 12+1/2-4 = (2×12)/2+1/2+(2 (-4))/2:
(2×12)/2+1/2+(2 (-4))/2
2×12 = 24:
24/2+1/2+(2 (-4))/2
2 (-4) = -8:
24/2+1/2+-8/2
24/2+1/2-(8)/2 = (24+1-8)/2:
(24+1-8)/2
24+1 = 25:
25-8/2
| 1 | 15
| 2 | 5
- | | 8
| 1 | 7:
Answer: |
| 17/2
