1. Chapter 6 Polynomial Functions and Inequalities

2. 6.1 Properties of Exponents Negative Exponents a -n = –Move the base with the negative exponent to the other part of the fraction to make it positive

3. Product of Powers a m · a n = *Add exponents when you have multiplication with the same base Quotient of Powers = a m – n * subtract exponents when you have division with the same base a m+n

4. Power of a Power (a m ) n = *Multiply exponents when you have a power to a power Power of a Product (ab) m = *Distribute the exponents when you have a multiplication problem to a power a mn ambmambm

5. Power of a Quotient * distribute the exponent to both numerator and denominator, then use other property rules to simplify Zero Power a 0 = * any number with the exponent zero = 1 1

6. Examples 1. 5 2 ∙ 5 6 2. -3y ∙ -9y 4 3. (4x 3 y 2 )(-5y 3 x) 4. 597,652 0

7. 5. (29m) 0 + 7 0 6. 54a 7 b 10 c 15 -18a 2 b 6 c 5 7.(3yz 5 ) 3 8.8r 4 2r -4

8. 9. y -7 y 13. 3 0 – 3t 0 y 8 10. 4x 0 + 5 14. (2 -2 x 4 -1 ) 3 11. x -7 y -2 x 2 y 2 12. (6xy 2 ) -1