6,6710^-111,910^27/50,810^14

Question 1

Задача Задача №2275586

А

Аноним

18 ноября 2024 15:58 · публичный вопрос

А

Аноним 18 ноября 2024 15:58

6,6710^-111,910^27/50,810^14

Answer

To simplify the expression \( \frac{6.67 \times 10^{-11} \times 1.9 \times 10^{27}}{50.8 \times 10^{14}} \), we can follow these steps:

Multiply the numbers in the numerator: \[ 6.67 \times 1.9 = 12.653 \] and then combine the powers of ten: \[ 10^{-11} \times 10^{27} = 10^{-11 + 27} = 10^{16} \]

So the numerator becomes: \[ 12.653 \times 10^{16} \]
Now, our expression looks like this: \[ \frac{12.653 \times 10^{16}}{50.8 \times 10^{14}} \]
Divide the numbers and handle the powers of ten: \[ \frac{12.653}{50.8} \approx 0.248 \] \[ \frac{10^{16}}{10^{14}} = 10^{16 - 14} = 10^{2} \]
Combining these results gives us: \[ 0.248 \times 10^{2} \] or: \[ 24.8 \]

So, the final result of the expression is approximately: \[ \mathbf{24.8} \]

Question 2

6,67*10^-11*1,9*10^27/50,8*10^14

Answer

To simplify the expression \( \frac{6.67 \times 10^{-11} \times 1.9 \times 10^{27}}{50.8 \times 10^{14}} \), we can follow these steps: 1. Multiply the numbers in the numerator: \[ 6.67 \times 1.9 = 12.653 \] and then combine the powers of ten: \[ 10^{-11} \times 10^{27} = 10^{-11 + 27} = 10^{16} \] So the numerator becomes: \[ 12.653 \times 10^{16} \] 2. Now, our expression looks like this: \[ \frac{12.653 \times 10^{16}}{50.8 \times 10^{14}} \] 3. Divide the numbers and handle the powers of ten: \[ \frac{12.653}{50.8} \approx 0.248 \] \[ \frac{10^{16}}{10^{14}} = 10^{16 - 14} = 10^{2} \] 4. Combining these results gives us: \[ 0.248 \times 10^{2} \] or: \[ 24.8 \] So, the final result of the expression is approximately: \[ \mathbf{24.8} \]