1. 6.1.1 – Properties of Exponents

2. We worked with combining/multiply like terms, mostly in single terms Example. Simplify the following expressions. 1) x(2x + 5) 2) (x + 4)(x – 3) 3) (x + 9) 2 4) (x – 3)(x – 8) 5) 2x(3x – 1)

3. But, if we have different powers, we need another way to simplify and combine like terms Exponents = a number of the form a m ; a is the base and m is the power To use and combine exponents, we have several properties that will make it easier

4. Exponent Properties

5. Important Note! If the bases are NOT common, we cannot use the above previous properties; could only simplify any coefficients Example. Simplify x 2 (x 9 ) Example. Simplify x 5 (y 10 )

6. Example. Simplify the following expressions using exponent properties. Rule: Multiply coefficients, add exponents (when applicable) 1) (2 4 ) 3 2) (-2) 3 (-2) 7 3) (5y 4 )(y 9 ) 4) (6x 4 ) 2 5) (2p)(4p 3 ) 6) (125x 7 ) 0

7. Assignment Pg. 299 3, 4, 6, 8, 10, 12-18, 28, 29