Question

Calculează: a) [(22 – 3)7 + 72]: 23, b) (2 017° + (32)20 : (313)3]30 : 820, c) 5 • {5 - [5. (52 – 32) – 4?] – 152}: 19-52. - -



Dau coroana ​

Answer 1

Răspuns:

a) [(2² - 3) × 7 + 7²] ÷ 2³

= [(4 - 3) × 7 + 49] ÷ 8

= (1 × 7 + 49) ÷ 8

= (7 + 49) ÷ 8 = 56 ÷ 8 = 7

b) [2.017⁰ + (3²)²⁰ ÷ (3¹³)³]³⁰ ÷ 8²⁰

= (1 + 3⁴⁰ ÷ 3³⁹)³⁰ ÷ 8²⁰

= (1 + 3)²⁰ ÷ 8²⁰

= 4²⁰ ÷ 8²⁰ = (2²)³⁰ ÷ (2³)²⁰

= 2⁶⁰ ÷ 2⁶⁰ = 2⁰ = 1

c) 5 × {5 × [5 × (5² - 3²) - 4²] - 15²} ÷ 19 - 5²

= 5 × {5 × [5 × (25 - 9) - 16] - 225} ÷ 19 - 25

= 5 × [5 × (5 × 16 - 16) - 225] ÷ 19 - 25

= 5 × [5 × (80 - 16) - 225] ÷ 19 - 25

= 5 × (5 × 64 - 225) ÷ 19 - 25

= 5 × (320 - 225) ÷ 19 - 25

= 5 × 95 ÷ 19 - 25

= 475 ÷ 19 - 25 = 25 - 25 = 0