2. Exponents, Polynomials, and Polynomial Functions
Chapter 6
Exponents, Polynomials, and
Polynomial Functions

3. Integer Exponents and Scientific Notation
6.1
Integer Exponents and
Scientific Notation

4. 6.1 Integer Exponents and Scientific Notation
Objectives
Use the product rule for exponents.
Define 0 and negative exponents.
Use the quotient rule for exponents.
Use the power rule for exponents.
Simplify exponential expressions.
Use the rules for exponents with scientific notation.
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5. 6.1 Integer Exponents and Scientific Notation
Use the product rule for exponents.
The products of exponential expressions with the same base are found by adding exponents.
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6. 6.1 Integer Exponents and Scientific Notation
Use the product rule for exponents.
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7. 6.1 Integer Exponents and Scientific Notation
Define 0 and negative exponents.
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8. 6.1 Integer Exponents and Scientific Notation
Negative Exponents
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9. 6.1 Integer Exponents and Scientific Notation
Special Rules for Negative Exponents
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10. 6.1 Integer Exponents and Scientific Notation
Use the quotient rule for exponents.
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11. 6.1 Integer Exponents and Scientific Notation
Use the power rule for exponents.
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12. 6.1 Integer Exponents and Scientific Notation
Use the power rule for exponents.
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13. 6.1 Integer Exponents and Scientific Notation
More Special Rules for Negative Exponents
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14. 6.1 Integer Exponents and Scientific Notation
Rules for Exponents Summarized
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15. 6.1 Integer Exponents and Scientific Notation
Using the Definitions and Rules for Exponents
Note: There is often more than one way to simplify expressions as illustrated in the following expressions.
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16. 6.1 Integer Exponents and Scientific Notation
Scientists often deal with extremely large and extremely small numbers. For example:
The distance from the sun to the Earth is approximately 150,000,000 kilometers.
The wavelength of x-rays is meter.
X-ray
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17. 6.1 Integer Exponents and Scientific Notation
It is often simpler to write these very large or very small numbers using scientific notation.
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18. 6.1 Integer Exponents and Scientific Notation
Converting to Scientific Notation
To write numbers in scientific notation, we use the following steps.
If the number is negative, use the steps above and then label your results as a negative number.
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19. 6.1 Integer Exponents and Scientific Notation
Converting to Scientific Notation
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20. 6.1 Integer Exponents and Scientific Notation
Converting to Scientific Notation
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21. 6.1 Integer Exponents and Scientific Notation
Converting from Scientific Notation to Standard Notation
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22. 6.1 Integer Exponents and Scientific Notation
Using Scientific Notation in Computation
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