1. Laws of Exponents

2. Review An exponent tells you how many times the base is multiplied by itself. h 5 means h∙ h∙ h∙ h∙ h Any number to the zero power is 1! Any number to the first power is itself! exponent base

3. Product Rule Same base? Then add the exponents a m ∙ a n = a m+n Examples: k 8 ∙ k 7 = (a 4 )(a 2 ) = 9x 7 x 5 x = (4r 3 )(5r 6 ) =

4. Quotient Rule Same base? Subtract the larger exponent from the smaller exponent. Write difference where the larger exponent was (upstairs or down)

5. Quotient Rule Same base? Subtract the larger exponent from the smaller exponent. Examples:

6. Power To A Power Rule Multiply the exponents (a m ) n = a m∙n Examples: (c 6 ) 4 = 5(m 4 ) 4 = (9h) 2 =

7. Multiply the exponents (a m ) n = a m∙n More Examples: (s 3 q 5 ) 2 = (2xy 4 ) 3 = 4(5r 6 ) 2 =

8. Try Me!