Question

Вычислить: 3×√1 ₉ -1 (Дробь 9/16) _ ₁₆ √2,5*√10 √0,72:√8 √3 (в четвертой степени) *√2 (в шестой степени)

Answer 1

Первое ответ 8

Второе 5

Третье 0,3

Четвёртое 72

Answer 2

Давайте рассмотрим каждую часть выражения по отдельности.

1. 3 × √(1₉ - 1/16) Первым делом вычислим значение подкоренного выражения: 1₉ - 1/16 = 9/9 - 1/16 = 144/144 - 9/144 = 135/144 √(135/144) = √(15/16) = √(15)/√(16) = √(15)/4 Теперь умножим на 3: 3 × √(15)/4 = 3√(15)/4

2. (Дробь 9/16)ₓ₁₆ √2,5 × √10 √(0,72/√8) √3⁴ × √2⁶ Разложим каждую часть по отдельности:

   a) (Дробь 9/16)ₓ₁₆ Для начала преобразуем дробь в шестнадцатеричной системе счисления: 9/16 = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2^4) = 9/(2