Răspuns:
(a, b) = 4
Explicație pas cu pas:
a = [(20×25²⁰⁰) × (2¹⁰⁰ × 10³)] : (2¹⁰⁰ × 5⁴⁰⁰ × 25 ) + 1244
= (2² × 5 × 5⁴⁰⁰ × 2¹⁰⁰ × 2³ × 5³) : (2¹⁰⁰ × 5⁴⁰⁰ × 5² ) + 1244
= (2¹⁰⁵ × 5⁴⁰⁴) : (2¹⁰⁰ × 5⁴⁰²) + 1244
= 2⁵ × 5² + 1244
= 32 × 25 + 1244
= 2044
a = 2² × 7 × 73
b = 1326 + 2 × [( 3×5² - 2² × 18 ÷ 3² + 33) ÷ 2²]
= 1326 + 2 × [( 3×25 - 4 × 18 : 9 + 33) : 4]
= 1326 + 2 × [( 75 - 8 + 33) : 4]
= 1326 + 2 × (100 : 4)
= 1326 + 2 × 25
= 1376
b = 2⁵ × 43
(a, b) = 2² = 4