Number and Operations in Base Ten

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Lesson 3

Powers and Exponents

Practice

Write each product using an exponent.

1. 10 × 10 × 10 = 2. 12 × 12 =

Write each power as a product of the same factor. Then find the value.

3. 37 =

4. 106 =

Write the prime factorization of each number using exponents.

5. 20 = 6. 50 =

Homework Helper

Write 6 × 6 × 6 using an exponent.

The base is 6 . Since 6 is used as a factor three times, the exponent is 3 .

So, 6 × 6 × 6 = 63.

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Lesson 3 My Homework�97

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Problem Solving

7. 8 Look for a Pattern The Newfoundland is a large breed of dog. It weighs about 10 × 10 pounds. Write 10 × 10 using an exponent. Then find the value of the power. How many pounds does the Newfoundland weigh?

8. The area of San Bernardino County, California, the largest county in the United States, is about 39 square miles. Write this as an expression. What is the area of San Bernardino County?

g

attern The f dog. It weighs0 × 10 using

ue of the power. wfoundland weigh?

unty, California, States, is about

n expression. dino County?

I am hungry.hungry.m hungry

Test Practice 11. A 100-pound person on Earth would weigh about 4 × 4 × 4 × 4

pounds on Jupiter. Evaluate the expression to determine how much a 100-pound person would weigh on Jupiter.

A 16 pounds C 256 pounds

B 64 pounds D 1,024 pounds

Vocabulary Check

9. Numbers expressed using exponents are called .

10. The exponent indicates how many times the is used as a factor.

Fill in each blank with the correct term or number to complete each sentence.

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Vocab

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