calculati: b)3³+3¹⁰:3⁸•3+3•3⁷:3⁵+2•3¹⁰:(5•3⁵+3⁵)+9•3;
c)[3²•3³+2⁵⁴:2⁵²+(3⁵)⁴:3²⁰]:31;
d)[3⁴⁸:3¹⁸+(2⁴)⁵+6²³:6¹³]:[(3⁵)²•(2²)⁵+3¹⁷•3¹³+(2⁵)⁴];
e) 10•{24²:576+3•[(3²•2¹⁵)+1²¹]}:13;
f)2¹⁰⁰:[2⁵⁰•2⁴⁸+(2¹⁰•2¹⁵)⁵:2²⁷+(5⁷⁶:5⁷⁵-3)⁹⁰•2⁸+2⁹⁸];
g)[3⁷•3¹⁰+2²⁰³:2¹⁰⁸-5•(5²)⁵]:(3¹⁷+2⁹⁵-5¹¹)
Răspunsuri la întrebare
Răspuns:
b)
3³ + 3¹⁰ : 3⁸ × 3 + 3 × 3⁷ : 3⁵ + 2 × 3¹⁰ : (5 × 3⁵ + 3⁵) + 9 × 3 =
3³ + 3¹⁰⁻⁸ × 3 + 3 × 3⁷⁻⁵ + 2 × 3¹⁰ : (5 × 3⁵ + 3⁵) + 3² × 3 =
3³ + 3² × 3 + 3 × 3² + 2 × 3¹⁰ : [(5 + 1) × 3⁵] + 3²⁺¹ =
3³ + 3²⁺¹ + 3¹⁺² + 2 × 3¹⁰ : [(5 + 1) × 3⁵] + 3²⁺¹ =
3³ + 3³ + 3³ + 2 × 3¹⁰ : (6 × 3⁵) + 3³ =
3 × 3³ + 2 × 3¹⁰ : (2 × 3 × 3⁵) + 3³ =
3¹⁺³ + 2 × 3¹⁰ : (2 × 3¹⁺⁵) + 3³ =
3⁴ + 2 × 3¹⁰ : (2 × 3⁶) + 3³ =
3⁴ + 2¹⁻¹ × 3¹⁰⁻⁶ + 3³ =
3⁴ + 2⁰ × 3⁴ + 3³ =
3⁴ + 1 × 3⁴ + 3³ =
3⁴ + 3⁴ + 3³ =
3³ × (3⁴⁻³ + 3⁴⁻³ + 3³⁻³) =
3³ × (3¹ + 3¹ + 3⁰) =
3³ × (3 + 3 + 1) =
3³ × 7
d)
[3⁴⁸ : 3¹⁸ + (2⁴)⁵ + 6²³ : 6¹³] : [(3⁵)² × (2²)⁵ + 3¹⁷ × 3¹³ + (2⁵)⁴] =
[3⁴⁸ : 3¹⁸ + (2⁴)⁵ + 6²³ : 6¹³] : (3⁵ˣ² × 2²ˣ⁵ + 3¹⁷ × 3¹³ + 2⁵ˣ⁴) =
(3⁴⁸⁻¹⁸ + 2⁴ˣ⁵ + 6²³⁻¹³) : (3¹⁰ × 2¹⁰ + 3¹⁷⁺¹³ + 2²⁰) =
(3³⁰ + 2²⁰ + 6¹⁰) : [(3 × 2)¹⁰ + 3³⁰ + 2²⁰ ] =
(3³⁰ + 2²⁰ + 6¹⁰) : (3³⁰ + 2²⁰ + 6¹⁰) =
1
f)
2¹⁰⁰ : [2⁵⁰ × 2⁴⁸+ (2¹⁰ × 2¹⁵)⁵ : 2²⁷+ (5⁷⁶ : 5⁷⁵- 3)⁹⁰ × 2⁸ + 2⁹⁸] =
2¹⁰⁰ : [2⁵⁰ × 2⁴⁸+ (2¹⁰ˣ¹⁵)⁵ : 2²⁷+ (5⁷⁶⁻⁷⁵- 3)⁹⁰ × 2⁸ + 2⁹⁸] =
2¹⁰⁰ : [2⁵⁰⁺⁴⁸ + (2²⁵)⁵ : 2²⁷ + (5¹ - 3)⁹⁰ × 2⁸ + 2⁹⁸] =
2¹⁰⁰ : (2⁹⁸ + 2¹²⁵ : 2²⁷ + 2⁹⁰ × 2⁸ + 2⁹⁸) =
2¹⁰⁰ : (2⁹⁸ + 2¹²⁵⁻²⁷ + 2⁹⁰⁺⁸ + 2⁹⁸) =
2¹⁰⁰ : (2⁹⁸ + 2⁹⁸ + 2⁹⁸ + 2⁹⁸) =
2¹⁰⁰ : (2⁹⁸⁻⁹⁸ + 2⁹⁸⁻⁹⁸ + 2⁹⁸⁻⁹⁸ + 2⁹⁸⁻⁹⁸) =
2¹⁰⁰ : (2⁰ + 2⁰ + 2⁰ + 2⁰) =
2¹⁰⁰ : 2⁹⁸ · (1 + 1 + 1 + 1) =
2¹⁰⁰⁻⁹⁸ · 4 =
2² · 4 = 2² · 2² =
2²⁺² = 2⁴ = 16