1. Multiplication Property of Exponents 8-1

2. What do the following mean? 1)X 3 2)Y 5 3)2 4 x 2 x 3 X · X · X Y · Y · Y · Y · Y 2 · 2 · 2 · 2 · (X · X) · (X · X · X) 16X 5

3. Vocabulary X 3 –X is the base –3 is the exponent tells us how many times to multiply the base by itself

4. Product of Powers Rule When you multiply powers that have the same base, you add the exponents. Ex: y 3 y 5 = y 3+5 = y 8 1) x 6 x 11 = 2) 2 3 2 2 = x 17 2525

5. Complete the equation… 1)(5 ? ) 2 = 5 10 2)(x 5 ) ? = x 15 3)[-2) 8 ] 2 = (-2) ? 1)5 2)3 3)16

6. Power to Power Rule When you raise an exponent to a power, you multiply the exponents Ex:(x 3 ) 4 = x 12

7. Power of a Product ( ) Rule When you raise a set of ( ) to a power, you have to raise everything in the ( ) to the power. Ex:(a b) 3 = a 3 b 3 (3x 2 ) 4 = 3 4 (x 2 ) 4 = 3 4 x 8 = 81x 8

8. Simplify 1)(2mn) 6 2)(-rst) 5 3)-4x (x 3 ) 2 4)(5y 2 ) 3 (y 3 ) 2 1)64m 6 n 6 2)-r 5 s 5 t 5 3)-4x 7 4)125x 12

9. Homework Pg. 446 #20-60 (e), 70-73 all