Вопрос:

2. Вычислите: a) 2 ⋅ 5² б) (7 ⋅ 2)² в) 7² - 6² г) 35² - 5³ д) (76 - 66)³ ⋅ 2³ e) 800 - 750 : 5² ж) 3 ⋅ 13² - 15

Ответ:

a) 2 ⋅ 5² = 2 ⋅ (5 ⋅ 5) = 2 ⋅ 25 = 50

б) (7 ⋅ 2)² = 14² = 14 ⋅ 14 = 196

в) 7² - 6² = 49 - 36 = 13

г) 35² - 5³ = (35 ⋅ 35) - (5 ⋅ 5 ⋅ 5) = 1225 - 125 = 1100

д) (76 - 66)³ ⋅ 2³ = (10)³ ⋅ 2³ = 1000 ⋅ 8 = 8000

e) 800 - 750 : 5² = 800 - 750 : 25 = 800 - 30 = 770

ж) 3 ⋅ 13² - 15 = 3 ⋅ (13 ⋅ 13) - 15 = 3 ⋅ 169 - 15 = 507 - 15 = 492

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