Question

Se dau nr ;
a= [(20×25 la puterea 200 ) × (2 la puterea 100 × 10 la puterea 3)] ÷ (2 la puterea 100 × 5 la puterea 400 × 25 ) + 1244;
b= 1326+2 [( 3×5 la puterea 2 - 2 la puterea 2 × 18 ÷ 3 la puterea 2 + 33) ÷ 2 la puterea 2 ].
Sa se afle ( a,b)

Answer 1

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