1. 4(3²)-6(2)/6+2² = 4(9) - 6(2)/6+4 = 36-12/10 = 24/10 = 12/5 or 2²/₅

2. √8²-3²-5(6)/2(5)+6 = √64-9-5(6)/2(5)+6 = √64-9-30/10+6 = √25/16 = √5/4

3. 5²-[2(3) + 1] = 5²- (6+1) = 5²--7=25-7=18

4. 8+2(3²-4²)/15-6(3+1) = 8+2(9-16)/15-6(4) = 8+2(-7)/15-24 = 8-14/-9 = -6/-9 = 2/3

5. 3(20+4)/2(9)-4² . 3√ 5(8) + 41/12-3(16-13) = 3(20+4)/2(9)-16 . 3√ 40+ 41/12-3(3) = 3(24)/18-16 3√40+41/12-9 = 72/2 3√81 /3 = 36 3√27=36(3) = 108