Question

7) 24³ + 12³ 21² - 15² + 6-¹; D/3 (8) 183 + 153 192 - 14² + 5-1​

Answer 1

Ответ:

Вираз 24³ + 12³ - 21² - 15² + 6⁻¹:

24³ = 13,824

12³ = 1,728

21² = 441

15² = 225

6⁻¹ = 1/6

Тепер обчислимо вираз: 13,824 + 1,728 - 441 - 225 + 1/6 = 15,127 + 1/6.

Вираз 183 + 153 - 192 - 14² + 5⁻¹:

14² = 196

5⁻¹ = 1/5

Тепер обчислимо вираз: 183 + 153 - 192 - 196 + 1/5 = 48 - 196 + 1/5.

Далі, розділимо результати на 3:

(15,127 + 1/6) / 3 ≈ 5,042 + 0,1667 ≈ 5,2087.

(48 - 196 + 1/5) / 3 ≈ -49 + 0,2 ≈ -48,8.

Пошаговое объяснение:

результат: 1) 5,2087, 2)-48,8

Answer 2

It looks like you've provided two mathematical expressions. Let's break them down step by step:

1. $24^3 + 12^3 - 21^2 - 15^2 + 6^{-1}$
2. $\frac{D}{3} \times (8 \times 183 + 153 \times 192 - 14^2 + 5^{-1})$

Now, let's compute each expression:

1. $24^3 + 12^3 - 21^2 - 15^2 + 6^{-1}$:

$$\begin{align*} &= 13824 + 1728 - 441 - 225 + 0.1667 \\ &= 15595.1667 \end{align*}$$

2. $\frac{D}{3} \times (8 \times 183 + 153 \times 192 - 14^2 + 5^{-1})$:

First, simplify the expression inside the parentheses:

$$\begin{align*} &= 8 \times 183 + 153 \times 192 - 14^2 + 5^{-1} \\ &= 1464 + 29376 - 196 + 0.2 \\ &= 30943.2 \end{align*}$$

Now, substitute this value back into the original expression:

$$\frac{D}{3} \times 30943.2$$

Without knowing the value of $D$, we cannot provide a numerical answer for this expression unless $D$ is specified. If you have a specific value for $D$, you can substitute it in to find the result.