Question

Запишите в виде несократимой дроби: 31 5степень*73 8 степень/73 9степень * 31 4степень 390/575

Answer 1

1) 31^5*73^8/73^9*31^4=31/73;
2) 390/575=78/115.

Answer 2

Давайте рассмотрим выражение и посчитаем его.

Выражение: 31^5 * 73^8 / 73^9 * 31^4 * 390 / 575

Упрощение выражения

Для начала, давайте упростим выражение. Мы можем сократить некоторые части, используя свойства степеней и деления.

1. Сокращение степеней: - 31^5 * 31^4 = 31^(5+4) = 31^9 - 73^8 / 73^9 = 1 / 73^(9-8) = 1 / 73 - Теперь у нас есть: 31^9 * (1 / 73) * 390 / 575

2. Сокращение дробей: - 390 / 575 = 6 / 9 = 2 / 3 - Теперь у нас есть: 31^9 * (1 / 73) * (2 / 3)

Вычисление значения

Теперь, когда у нас есть упрощенное выражение, мы можем вычислить его значение.

1. Вычисление степеней: - 31^9 = 31 * 31 * 31 * 31 * 31 * 31 * 31 * 31 * 31 = 923,521,857,299,080,000,000 - 73^(-1) = 1 / 73 = 0.0136986301369863

2. Вычисление дроби: - (923,521,857,299,080,000,000) * (0.0136986301369863) * (2 / 3) = 21,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,212,121,