a) [(37 - 31) * (42 : 6)] - 7 * 2² = (6 * 7) - 7 * 4 = 42 - 28 = 14 b) 7 + 3 * [(15 - 3² * 2 : 6) : 4] = 7 + 3 * [(15 - 9 * 2 : 6) : 4] = 7 + 3 * [(15 - 18 : 6) : 4] = 7 + 3 * [(15 - 3) : 4] = 7 + 3 * (12 : 4) = 7 + 3 * 3 = 7 + 9 = 16 c) 4² + 2 * 5 - [10 : (2 + 3)] = 16 + 10 - (10 : 5) = 26 - 2 = 24 (d) 7 * 3 - 3²) * 2 + 2³ - 9 : 3 = (21 - 9) * 2 + 8 - 3 = 12 * 2 + 5 = 24 + 5 = 29 e) (3² * 2 - 8) : 2 + 4 * 3 = (9 * 2 - 8) : 2 + 12 = (18 - 8) : 2 + 12 = 10 : 2 + 12 = 5 + 12 = 17 f) 22 - 2 * [(35 + 15 * 3) : 2³] = 22 - 2 * [(35 + 45) : 8] = 22 - 2 * (80 : 8) = 22 - 2 * 10 = 22 - 20 = 2
a [latex][(37-31) * (42:6)] - 7*2^{2} = (6 *7) - 7*4 = 42- 28 = 14[/latex] b [latex]7 + 3 * [(15- 3^{2} * 2 : 6):4] = 7 + 3 * [(15-9*2:6):4] = [/latex] [latex] = 7 + 3 * [(15- 3):4]= 7 + 3 * 3 = 7+9=16[/latex] c [latex] 4^{2} + 2*5-[10:(2+3)]= 16+10-2=24[/latex] d [latex](7*3- 3^{2} )*2 + 2^{3} - 9:3=(21-9)*2+5=24+5=29[/latex] e [latex]( 3^{2}*2 -8):2+ 4*3 = (18-8):2+12=10:2+12= 5+12 = 17[/latex] f [latex]22-2*[(35+15*3):2^{3}]=22-2*[80:8]=22-2*10=2 [/latex]