Răspuns:
Explicație pas cu pas:
1+2+3+......+49 = (49+1)·49:2 = 49·25 = 1225
34·135+77·135-11·135 = 135·(34+77-11) = 135·100 = 13500
5·{7+3·[46+6·(27-32:4)]} = 5·{7+3·[46+6·(27-8)]} =
= 5·[7+3·(46+6·19)] = 5·[7+3·(46+114)] =
= 5·(7+3·160) = 5·(7+480) = 5·487 = 2435
4¹⁴·2¹⁰:8¹² = (2²)¹⁴·2¹⁰:(2³)¹² = 2²ˣ¹⁴·2¹⁰:2³ˣ¹² =
= 2²⁸·2¹⁰:2³⁶ = 2²⁸⁺¹⁰⁻³⁶= 2³⁸⁻³⁶ = 2² = 4
(3³·3+3⁶:3⁴+3⁰):[3·3⁴·3⁵:(3²)³+9+243⁰] =
= (3³⁺¹+3⁶⁻⁴+1):[3¹⁺⁴⁺⁵:3²ˣ³+9+1] =
= (3⁴+3²+1):(3¹⁰:3⁶+9+1) = (3⁴+10):(3⁴+10) = 1