6.1.1 – Properties of Exponents

• 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)

• But, if we have different powers, we need another way to simplify and combine like terms

• Exponents = a number of the form am; a is the base and m is the power

• To use and combine exponents, we have several properties that will make it easier

Exponent Properties

• Important Note!• If the bases are NOT common, we cannot use the above previous

properties; could only simplify any coefficients

• Example. Simplify x2(x9)

• Example. Simplify x5(y10)

• Example. Simplify the following expressions using exponent properties. • Rule: Multiply coefficients, add exponents (when applicable)

• 1) (24)3

• 2) (-2)3(-2)7

• 3) (5y4)(y9)• 4) (6x4)2

• 5) (2p)(4p3)• 6) (125x7)0

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