Question

(8²-2³-15)²49²:7+83​

Answer 1

1. (8² - 2³ - 15)²:
Почнемо з обчислення значень в дужках:
8² = 64
2³ = 8
15
Тепер візьмемо їхню різницю та піднесемо в квадрат:
(64 - 8 - 15)² = (41)² = 1681

2. 49² : 7 + 83:
Розділимо 49² на 7:
49² : 7 = 2401
Тепер додамо 83 до цього результату:
2401 + 83 = 2484

Отже, результати обчислень:
1. (8² - 2³ - 15)² = 1681
2. 49² : 7 + 83 = 2484

Answer 2

To solve this expression, we'll follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). Let's break it down step by step:

1. First, calculate any exponents: 8² = 64 2³ = 8

2. Subtract the result of 2³ from 8²: 64 - 8 = 56

3. Next, subtract 15: 56 - 15 = 41

4. Now, square the result: 41² = 1681

5. Divide the squared result by 7: 1681 / 7 = 240.14 (rounded to two decimal places)

6. Finally, add 83: 240.14 + 83 = 323.14 (rounded to two decimal places)

So, the final result of the expression is approximately 323.14.