1. Lesson Objective: I will be able to …
Use multiplication properties of exponents to
evaluate and simplify expressions
Language Objective: I will be able to …
Read, write, and listen about vocabulary, key
concepts, and examples

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3. Products of powers with the same base can be found by writing each power as a repeated multiplication.
Notice the relationship between the exponents in the factors and the exponents in the product
5 + 2 = 7.

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5. Example 1: Finding Products of Powers
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Simplify. A. C. B. D. 1

6. Group powers with the same base together.
Your Turn 1
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Simplify.
Group powers with the same base together.
Add the exponents of powers with the same base.

7. Example 2: Astronomy Application
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Example 2: Astronomy Application
Light from the Sun travels at about miles per second. It takes about 15,000 seconds for the light to reach Neptune.
Find the approximate distance from the Sun to Neptune. Write your answer in scientific notation.
distance = rate  time
Write 15,000 in scientific notation.
Use the Commutative and Associative Properties to group.
Multiply within each group. mi

8. To find a power of a power, you can use the meaning of exponents.
Notice the relationship between the exponents in the original power and the exponent in the final power:

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10. Example 3: Finding Powers of Powers
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Example 3: Finding Powers of Powers
Simplify. C. 1

11. Use the Power of a Power Property.
Your Turn 3
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Simplify.
Use the Power of a Power Property.
Simplify the exponents of the two terms.
Since the powers have the same base, add the exponents.

12. Powers of products can be found by using the meaning of an exponent.
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13. Example 4: Finding Powers of Products
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Example 4: Finding Powers of Products
Simplify. A. C. B.

14. (-5)(-5) ● t2 ● 2 Your Turn 4 Simplify.
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Your Turn 4
Simplify.
Use the Power of a Product Property.
(-5)(-5) ● t2 ● 2
Use the Power of a Product Property.
Simplify.

15. Classwork
Assignment #3
Holt 7-3 #1 – 17 odd