Module 3 handouts (2017).pdf - 5.1 Notes For any positive...

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5.1 Notes MAT 1033 Exponents For any positive integer n, n a = ..... a a a a where a is “n” factors. n a exponent ex1. 4 4 3 3 _______ 2. ( 2) _______ 3. ( 2) _____ ex ex Base 0 1 a ex4. 0 ( 29) ______ ex5. 0 x =________ ex6. 0 0 8 15 =_________ Properties of Exponents: Product Rule : m n m n a a a Ex7. 8 6 7 4 3 6 _________ 8. _________ 9. ______ m m ex r r ex k k k Ex10. 5 4 3 2 _________ 11. ( 4 )(6 ) __________ m p ex a a Quotient Rule: m m n n a a a ex12. 5 7 12 3 2 3 3 _________ex13. ________ex14. _______ 3 a x a x Ex15. 8 4 3 4 ________ 16. ___________ r t ex r t Power Rule: ( ) m n mn a a ex17. 4 5 2 4 ( ) ______ 18. ( ) ________ r ex x Product to a Power : ( ) m ab = m m a b ex19. 2 3 2 (9 ) ________ 20. (3x ) _________ x ex y Quotient to a Power : m m m a a b b ex21. 2 2 4 3 3 __________ 22. _______ n x ex m y