8.1 Students will be able to use properties of exponents to multiply exponential expressions. Evaluate the expression. 1. x 4 when x = 3 2. a 2 when a.

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8.1 Students will be able to use properties of exponents to multiply exponential expressions. Evaluate the expression. 1. x 4 when x = 3 2. a 2 when a = –6 ANSWER 81 ANSWER 36 Warm-Up 3. m 3 when m = –5 4. A food storage container is in the shape of a cube. What is the volume of the container if one side is 4 inches long? Use V = s 3. ANSWER 64 in. 3 –125 ANSWER

8.1 Students will be able to use properties of exponents to multiply exponential expressions. Explore Textbook, Page 449

8.1 Students will be able to use properties of exponents to multiply exponential expressions. The product of powers property

8.1 Students will be able to use properties of exponents to multiply exponential expressions. Use the product of powers property = = 9 11 = (– 5) = (–5) 7 = 7 8 a = b = c. (– 5)(– 5) 6 = (– 5) 1 (– 5) 6 d. x 4 x 3 = x = x 7

8.1 Students will be able to use properties of exponents to multiply exponential expressions. Simplify the expression. = = = 5 10 = (– 7) 2+1 = (–7) 3 3. (– 7) 2 (– 7) = (– 7) 2 (– 7) 1 4.x 2 x 6 x = x 2 x 6 x 1 = x = x = =

8.1 Students will be able to use properties of exponents to multiply exponential expressions. The power of a power property

8.1 Students will be able to use properties of exponents to multiply exponential expressions. Use the power of a power property EXAMPLE 2 = 2 15 = (–6) 10 = x 8 = (y + 2) 12 a. (2 5 ) 3 = x 2 4 c. (x2)4(x2)4 = (–6) 2 5 b. [(–6) 2 ] 5 = (y+ 2) 6 2 d. [(y + 2) 6 ] 2 = 2 5 3

8.1 Students will be able to use properties of exponents to multiply exponential expressions. = 4 14 = (–2) 20 = n 18 = (m + 1) 20 = (4 2 ) 7 = (–2) 4 5 = (m + 1) [(m + 1) 5 ] 4 Simplify the expression. = n [(–2) 4 ] 5 7. (n3)6(n3)6