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CH. 7.1 ZERO and NEGATIVE EXPONENT
Core Concept
Evaluate each expression.
a. 6.70 b. ﴾−2﴿−4
Example 1
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A1 Ch. 7.1­7.4.notes
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Simplify the expression Write your answer using only positive exponents.
Example 2
Evaluate the expression.
1. ﴾−9﴿0 2. 3−3 3. 4. Simplify the expression Write your answer using only positive exponents.
Monitoring Progress 1­4
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Ch. 7.2­7.4 Multiplying and Dividing Powers of the Same Base
Core Concept Simplify each expression. Write your answer using only positive exponents.
a. b. c. ﴾z4 ﴿−3
Example 3
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A1 Ch. 7.1­7.4.notes
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Simplify the expression. Write your answer using only positive exponents.
5. 8. 6. 9. ﴾6−2﴿−1 7. 10. ﴾w12﴿5
Monitoring Progress 5­10
Core Concept
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Simplify each expression. Write your answer using only positive exponents.
a. b. c.
d.
Example 4
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Simplify the expression. Write your answer using only positive exponents.
11. ﴾10y﴿−3 12. 13. 14. Monitoring Progress 11­14
Which of the expressions shown represent the volume of the cylinder, where r is the radius and h is the height?
Example 5
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A jellyfish emits about 1.25 × 108 particles of light, or photons, in
6.25 × 10−4 second. How many photons does the jellyfish emit each second?
Write your answer in scientific notation and in standard form.
Example 6
15. Write two expressions that represent the area of a base of the cylinder in Example 5.
16. It takes the Sun about 2.3 × 108 years to orbit the center of the Milky Way. It takes Pluto about 2.5 × 102 years to orbit the Sun. How many times does Pluto orbit the Sun while the Sun completes one orbit around the center of the Milky Way? Write your answer in scientific notation.
Monitoring Progress 15­16
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