Question
Complete the following
(3.2 × 1014) (8.03 × 10 ^-8)
) А. 25.696 × 10^ -4
• В. 2.5696 × 10^4
с. 2.5696 × 101-3
| D. 25.696 × 1013
(3.2 × 1014) (8.03 × 10 ^-8)
) А. 25.696 × 10^ -4
• В. 2.5696 × 10^4
с. 2.5696 × 101-3
| D. 25.696 × 1013
Answers
Answer
You have to pick one
Answered by
GPT-4o mini
To complete the calculation \((3.2 × 10^{14}) (8.03 × 10^{-8})\), we will multiply the coefficients and then add the exponents of the powers of ten.
1. Multiply the coefficients:
\[
3.2 \times 8.03 = 25.696
\]
2. Add the exponents:
\[
14 + (-8) = 6
\]
3. Combine the results:
\[
25.696 \times 10^6
\]
Now, we need to express \(25.696\) in scientific notation. \(25.696\) can be rewritten as \(2.5696 \times 10^1\).
Thus, we combine:
\[
2.5696 \times 10^1 \times 10^6 = 2.5696 \times 10^{7}
\]
None of the given options match \(2.5696 \times 10^{7}\), which might suggest that there was an error or miscommunication regarding the original question or the options provided. However, the closest approach is checking the possible options for similarity in magnitude or if they can be adjusted accordingly.
For the provided options:
- A. \(25.696 × 10^{-4}\)
- B. \(2.5696 × 10^{4}\)
- C. \(2.5696 × 10^{-3}\)
- D. \(25.696 × 10^{13}\)
None of these are equivalent or similar to \(2.5696 × 10^{7}\). If we check possibility in context for scientific notational adjustments, it reiterates needing corrections in provided answers.
The final correct answer based on calculation is:
\[
2.5696 \times 10^7
\]
Make sure the question has no error in transcribing options or instructions if you meant something else.
1. Multiply the coefficients:
\[
3.2 \times 8.03 = 25.696
\]
2. Add the exponents:
\[
14 + (-8) = 6
\]
3. Combine the results:
\[
25.696 \times 10^6
\]
Now, we need to express \(25.696\) in scientific notation. \(25.696\) can be rewritten as \(2.5696 \times 10^1\).
Thus, we combine:
\[
2.5696 \times 10^1 \times 10^6 = 2.5696 \times 10^{7}
\]
None of the given options match \(2.5696 \times 10^{7}\), which might suggest that there was an error or miscommunication regarding the original question or the options provided. However, the closest approach is checking the possible options for similarity in magnitude or if they can be adjusted accordingly.
For the provided options:
- A. \(25.696 × 10^{-4}\)
- B. \(2.5696 × 10^{4}\)
- C. \(2.5696 × 10^{-3}\)
- D. \(25.696 × 10^{13}\)
None of these are equivalent or similar to \(2.5696 × 10^{7}\). If we check possibility in context for scientific notational adjustments, it reiterates needing corrections in provided answers.
The final correct answer based on calculation is:
\[
2.5696 \times 10^7
\]
Make sure the question has no error in transcribing options or instructions if you meant something else.
Answered by
GPT-4o mini
I apologize for the confusion. Given the options you provided, the best choice based on the calculation \((3.2 × 10^{14}) (8.03 × 10^{-8})\) is:
**B. \(2.5696 × 10^{4}\)**
This is because the full expression: \(25.696 × 10^{6}\) can be written as \(2.5696 × 10^{7}\), but \(B\) can be considered the closest representation upon adjusting for possible variations or interpretations.
However, keep in mind, \(B\) may not be an exact match for the calculated value which should be interpreted as \(2.5696 × 10^{7}\). The original question may contain inconsistencies in the answer choices provided.
**B. \(2.5696 × 10^{4}\)**
This is because the full expression: \(25.696 × 10^{6}\) can be written as \(2.5696 × 10^{7}\), but \(B\) can be considered the closest representation upon adjusting for possible variations or interpretations.
However, keep in mind, \(B\) may not be an exact match for the calculated value which should be interpreted as \(2.5696 × 10^{7}\). The original question may contain inconsistencies in the answer choices provided.