Chapter 6 Polynomial Functions and Inequalities

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

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

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

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

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

5. (29m) a 7 b 10 c a 2 b 6 c 5 7.(3yz 5 ) 3 8.8r 4 2r -4

9. y -7 y – 3t 0 y x (2 -2 x 4 -1 ) x -7 y -2 x 2 y (6xy 2 ) -1