Apply Exponent Properties Involving Quotients February 20, 2014 Pages 495-498

Simplify the expression. Write your answer using exponents. **To divide powers having the same base, subtract exponents. 810 84 1. = 810 – 4 = 86 4. x6 1 x4 x6 x4 = 2. (– 3)9 (– 3)3 = x6 – 4 = (– 3)9 – 3 = x2 = (– 3)6 512 57 = 3. 54 58 57 = 512 – 7 = 55

5. 611 65 = 611 – 5 8. y8 1 y5 y8 y5 = = 66 = y8 – 5 6. (– 4)9 (– 4)2 = (– 4)9 – 2 = y3 = (– 4)7 7. 94 93 92 97 92 = = 97 – 2 = 95

Simplify the expression. Write your answer using exponents. **To find a power of a quotient, find the power of the numerator and the power of the denominator and divide. 9. x y 3 x3 y3 = 10. 7 x – 2 – 7 x 2 = (– 7)2 x2 = 49 x2 =

11. 4x2 5y 3 (4x2)3 (5y)3 = Power of a quotient property = 43 (x2)3 53y3 Power of a product property = 64x6 125y3 Power of a power property 12. a2 b 1 2a2 5 (a2)5 b5 1 2a2 = Power of a quotient property a10 b5 = 1 2a2 Power of a power property a10 2a2b5 = Multiply fractions. a8 2b5 = Quotient of powers property

13. a b 2 a2 b2 = 14. 5 y – 3 – 5 y 3 = (– 5)3 y3 = 125 y3 – = 15. x2 4y 2 ( x2)2 (4y)2 = Power of a quotient property = x4 42y2 Power of a product property = x4 16y2 Power of a power property

23 s3 33 t3 t5 16 = 16. 3t 2s 3 t5 16 Power of a quotient property 8 s3 27 t3 t5 16 = Power of a power property 8 s3 27 16t3 t5 = Multiply fractions. s3 t2 54 =

Pages 498-499, #4-44 even *Show work on #38-44 HOMEWORK Pages 498-499, #4-44 even *Show work on #38-44