The Algebra Teacher\'s Guide to Reteaching Essential Concepts and Skills

Name Date

WORKSHEET 1.4: USING POSITIVE EXPONENTS AND BASES

CORRECTLY

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An exponent indicates the number of times its base is used as a factor. In 32 ,3isthebase

and 2 is the exponent.

EXAMPLES

43 = 4 × 4 × 4 = 64 35 = 3 × 3 × 3 × 3 × 3 = 243

DIRECTIONS: Find the value of each expression.

1. 24 4 × 2 2. 2 × 992


2. 34 4 × 3 4. 2 × 626


3. 3 × 773 6. 102 10 × 2


4. 5 × 225 8. 13 3 × 1


5. 52 5 × 2 10. 6 × 363

CHALLENGE:x^2 = 2 xis true for only one positive integer. What number

makes this equation true? Explain how you know your answer is correct.

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Copyright

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2011 by Judith A. Muschla, Gary Robert Muschla, and Erin Muschla. All rights reserved.