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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

2 Page 11

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.

4 Page 12

5 Example 1: Finding Products of Powers
Page 13 Simplify. A. C. B. D. 1

6 Group powers with the same base together.
Your Turn 1 Page 13 Simplify. Group powers with the same base together. Add the exponents of powers with the same base.

7 Example 2: Astronomy Application
Page 14 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:

9 Page 12

10 Example 3: Finding Powers of Powers
Page 14 Example 3: Finding Powers of Powers Simplify. C. 1

11 Use the Power of a Power Property.
Your Turn 3 Page 15 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.
Page 12

13 Example 4: Finding Powers of Products
Page 15 Example 4: Finding Powers of Products Simplify. A. C. B.

14 (-5)(-5) ● t2 ● 2 Your Turn 4 Simplify.
Page 15 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


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