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cubed and two squared 25 17 the quotient of six to the eighth power and six squared 66 Study Guide and Intervention Multiplying and Dividing Monomials

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Find ?

?8 8) 4 2 ?. Express your answer using exponents. ?8 8) 4 2 ??(?8) 4?2

The common base is ?8.

?(?8) 2

Subtract the exponents.

©Glencoe/McGraw-Hill190Glencoe Pre-Algebra

When multiplying powers with the same base, add the exponents.

Symbols Example

a m ?a n am+n 4 2 ?4 5 ?4 2+5 or 4 7 When dividing powers with the same base, subtract the exponents.

Symbols Example

a a m n ??a m ? n , where a?0? 5 5 6 2 ??5 6?2 or 5 4

Find 2a

2 (3a). Express your answer using exponents. 2a2 (3a) ?(2?3)(a 2 ?a)Use the Commutative and Associative Properties. ? (6)(a 2 ? 1 )The common base is a. ?6a 3

Add the exponents.

Find each product or quotient. Express your answer using exponents. 1.4 7 ?4 6 4 13 2.v 5 ?v 4 v 9 3.(f3 )(f 9 )f 12 4.22 5 ? 22 5 22
10

5.7h(5h

3 )35h 4

6.?10x

2 (7x 3 )?70x 5 7.? 7 7 5 2 ?7 3 8.? 1 1 8 6 ?1 2 9.? ?1 12 2) 3 3 ?(?12) 0 or 1 10.3 8 ?3 3 3 11 11.? c c 2 10 3 ?c 7 12.? ?p p) 1 18

2?(?p)

6

13.?7u

6 (?6u 5 )42u 11 14.?2 2w w 3 ?w 2

15.?5m

3 (4m 6 )?20m 9

16.the product of two cubed and two squared2

5

17.the quotient of six to the eighth power and six squared

66

Study Guide and Intervention

Multiplying and Dividing Monomials

NAME ______________________________________________ DATE ______________ PERIOD _____

Example1Example14-64-6

Example2Example2

ExercisesExercises

Skills Practice

Multiplying and Dividing Monomials

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