7 3 Multiplication Properties of Exponents Lesson Objective

7 -3 Multiplication Properties of Exponents 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 Holt Algebra 1

7 -3 Multiplication Properties of Exponents Page 11 Holt Algebra 1

7 -3 Multiplication Properties of Exponents 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. Holt Algebra 1

7 -3 Multiplication Properties of Exponents Page 12 Holt Algebra 1

7 -3 Multiplication Properties of Exponents Page 13 Example 1: Finding Products of Powers Simplify. A. B. C. D. 1 Holt Algebra 1

7 -3 Multiplication Properties of Exponents Page 13 Your Turn 1 Simplify. Group powers with the same base together. Add the exponents of powers with the same base. Holt Algebra 1

7 -3 Multiplication Properties of Exponents 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. mi Holt Algebra 1 Use the Commutative and Associative Properties to group. Multiply within each group.

7 -3 Multiplication Properties of Exponents 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: Holt Algebra 1

7 -3 Multiplication Properties of Exponents Page 12 Holt Algebra 1

7 -3 Multiplication Properties of Exponents Page 14 Example 3: Finding Powers of Powers Simplify. C. 1 Holt Algebra 1

7 -3 Multiplication Properties of Exponents Page 15 Your Turn 3 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. Holt Algebra 1

7 -3 Multiplication Properties of Exponents Powers of products can be found by using the meaning of an exponent. Page 12 Holt Algebra 1

7 -3 Multiplication Properties of Exponents Page 15 Example 4: Finding Powers of Products Simplify. A. B. Holt Algebra 1 C.

7 -3 Multiplication Properties of Exponents Page 15 Your Turn 4 Simplify. Use the Power of a Product Property. (-5) ● t 2 ● 2 Use the Power of a Product Property. Simplify. Holt Algebra 1

7 -3 Multiplication Properties of Exponents Classwork Assignment #3 • Holt 7 -3 #1 – 17 odd Holt Algebra 1