# EXAMPLE 2 Use the power of quotient property x3x3 y3y3 = a.a. x y 3 (– 7) 2 x 2 = b.b. 7 x – 2 – 7 x 2 = 49 x 2 =

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EXAMPLE 2 Use the power of quotient property x3x3 y3y3 = a.a. x y 3 (– 7) 2 x 2 = b.b. 7 x – 2 – 7 x 2 = 49 x 2 =

EXAMPLE 3 Use properties of exponents Power of a quotient property Power of a product property = 64x 6 125y 3 Power of a power property Power of a quotient property Power of a power property a 10 b5b5 = 1 2a22a2 2a2b52a2b5 = Multiply fractions. = 4 3 (x 2 ) 3 53y3 53y3 b.b. a2a2 b 1 2a22a2 5 Quotient of powers property a8a8 2b52b5 = (4x 2 ) 3 (5y)3(5y)3 =a. 4x24x2 5y5y 3 (a2)5(a2)5 b 5 1 2a22a2 =

GUIDED PRACTICE for Examples 2 and 3 Simplify the expression. = x 4 16y 2 a2a2 b2b2 =5. a b 2 125 y 3 – = 6. 5 y – 3 7. x2 x2 4y4y 2 8. 3t3t 2s2s 3 t5t5 16 s 3 t 2 54 =

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