Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Evaluate. Answer in scientific notation.**
\[
\frac{6 \times 10^9}{2 \times 10^6}
\]
**Explanation:**
This problem involves dividing two numbers that are expressed in scientific notation. Scientific notation is a way of expressing numbers as the product of a coefficient and a power of 10.
**Steps to Solve:**
1. **Divide the Coefficients:**
- Divide the numbers \(6\) and \(2\), which gives \(3\).
2. **Subtract the Exponents:**
- According to the rules of exponents, when you divide powers of the same base, you subtract the exponents: \(10^9 \div 10^6 = 10^{9-6} = 10^3\).
3. **Combine the Result:**
- Combine the result from the coefficient division and the exponent subtraction: \(3 \times 10^3\).
Thus, the answer in scientific notation is \(3 \times 10^3\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feae085a8-ea4f-4428-b500-5448b8b8dd69%2Fc882fc24-2ddc-4372-9b77-54828fd02ba1%2Fe1xhhw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Evaluate. Answer in scientific notation.**
\[
\frac{6 \times 10^9}{2 \times 10^6}
\]
**Explanation:**
This problem involves dividing two numbers that are expressed in scientific notation. Scientific notation is a way of expressing numbers as the product of a coefficient and a power of 10.
**Steps to Solve:**
1. **Divide the Coefficients:**
- Divide the numbers \(6\) and \(2\), which gives \(3\).
2. **Subtract the Exponents:**
- According to the rules of exponents, when you divide powers of the same base, you subtract the exponents: \(10^9 \div 10^6 = 10^{9-6} = 10^3\).
3. **Combine the Result:**
- Combine the result from the coefficient division and the exponent subtraction: \(3 \times 10^3\).
Thus, the answer in scientific notation is \(3 \times 10^3\).
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