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Name ______________________ Algebra I Date __________ Unit 7 Day 1 Exponent Properties involving Products and Quotients Today we will learn about properties involved in multiplying and dividing exponents. By the end of class you will be able to multiply and divide expressions with the same base. Powers and Exponents 32 4x 3 Example #1 – Fill in the chart below. Expression Coefficient Base Exponent x 7a 3 x 3 2 x 3 4 Example #2 – Complete the chart below. Exponential Form Expanded Form 84 x3 y 2 (c 14)2 3 x x x x 2 a a a bb x x x x x n 3 n 3 n 3 Product of Powers Property – when you multiply powers having the same base, _______ the exponents. Examples: 43 45 = x x4 x6 = xy2 × x 2 y × x 3 y 2 = Power of a Power Property – To find the power of a power, _____________ the exponents. Examples: (-2 5 ) 2 = x 4 6 = x 2 3 = Power of a Product Property – To find the power of a product, find the power of each factor and _____________. Examples: (xy) 3 = (5x) 2 = (2x 3 ) 2 (2 x 4 ) = Quotient of Powers Property – To divide powers having the same base, ___________ the exponents. Examples: 57 54 4 x x2 10 x 6 2 x2 Power of a Quotient Property – To find the power of a quotient, find the power of the numerator and the power of the denominator and ______________. x y 3 4 x2 5 xy 7 x 2 3 1 y 5 y8