1. Properties of Exponents Part 2 Foundations of Algebra

2. Power to a Power RAISING A POWER TO A POWER WordsNumbersAlgebra To raise a power to a power, multiply the powers together. 6 8 6 2*4 (6 ) 2 = = b m * n (b ) m = 4n

3. Power to a Power A. (6 6 ) 3 B. (3 4 ) 6 C. (14 2 ) 4 D. (5 7 ) 7 E. (x 7 ) 7 D. (3x 3 y) 2

4. You Try Some…

5. Power of a Product Words NumbersAlgebra MULTIPLYING POWERS WITH THE SAME BASE To raise a product to a power, raise each to that power. (3 4) = 3 4 4 8 4 (ab) = a n b n n

6. Power of a Product A. (6 6 7 3 ) 2 C. (a 2 b) 4 D. (r 6 s 3 t 2 ) 3 B. (3 2 4 7 ) 9

7. Power of a Quotient DIVIDING POWERS WITH THE SAME BASE WordsNumbersAlgebra To raise a quotient to a power, raise each to that power. 6 5 2 9 5 = = a b = ( ) 2 9 5 9 m a b m m

8. Power of a Quotient ( ) 3 4 A. B. s t ( ) C. a3a3 b2b2 4 9 14