Properties of Exponents Part 2 Foundations of Algebra

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

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

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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) = (ab) = a n b n n

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

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

Power of a Quotient ( ) 3 4 A. B. s t ( ) C. a3a3 b2b