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Splash Screen. Five-Minute Check (over Lesson 1–2) Main Idea and Vocabulary Example 1: Write Powers and Products Example 2: Write Powers and Products Example 3: Use Powers to Solve a Problem Example 4: Prime Factorization Using Exponents Example 5: Prime Factorization Using Exponents

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 1–2) Main Idea and Vocabulary Example 1: Write Powers and Products Example 2: Write Powers and Products Example 3: Use Powers to Solve a Problem Example 4: Prime Factorization Using Exponents Example 5: Prime Factorization Using Exponents Example 6: Prime Factorization Using Exponents Lesson Menu

  3. Use powers and exponents in expressions. • base • exponent • power • squared • cubed Main Idea/Vocabulary

  4. Write Powers and Products Write 5 × 5 × 5 × 5 using an exponent. The base is 5. Since 5 is used as a factor four times, the exponent is 4. 5 × 5 × 5 × 5 = 54 Write as a power. Answer: 54 Example 1

  5. A B C D Write 4 × 4 × 4 × 4 × 4 × 4 × 4 using an exponent. A. 414 B. 47 C. 74 D. 142 Example 1

  6. Write Powers and Products Write 83 as a product of the same factor. Then find the value. The base is 8. The exponent is 3. So, 8 is used as a factor three times. 83 = 8 × 8 × 8 Write 83 as a product. = 512 Multiply. Answer: 8 × 8 × 8; 512 Example 2

  7. A B C D Write 64 as a product of the same factor. Then find the value. A. 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2; 256 B. 6 × 6 × 6 × 6; 1,296 C. 4 × 4 × 4 × 4 × 4 × 4; 4,096 D. 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3; 6,561 Example 2

  8. Use Powers to Solve a Problem The distance from Boston to Chicago is about 103 miles. What is this number? 103 = 10 × 10 ×10 Write 103 as a product. = 1,000 Multiply. Answer: So, the distance from Boston to Chicago is about 1,000 miles. Example 3

  9. A B C D SWIMMING POOL The length of a new swimming pool being built at the community recreation center is listed as 26 feet. What is the length of the new pool? A. 12 ft B. 24 ft C. 36 ft D. 64 ft Example 3

  10. Prime Factorization Using Exponents Write the prime factorization of 108 using exponents. 108 = 2×2×3×3×3Write the prime factorization. = 22×33Write products of identical factors using exponents. Answer: 22× 33 Example 4

  11. A B C D Write the prime factorization of 144 using exponents. A. 24× 32 B. 22× 34 C. 22× 62 D. 32× 42 Example 4

  12. Prime Factorization Using Exponents Write the prime factorization of 80 using exponents. 80 = 2× 2× 2×2×5Write the prime factorization. = 24×5Write products of identical factors using exponents. Answer: 24× 5 Example 5

  13. A B C D Write the prime factorization of 162 using exponents. A. 22× 32 B. 24× 3 C. 2 × 34 D. 33× 6 Example 5

  14. Prime Factorization Using Exponents Write the prime factorization of 450 using exponents. 450 = 2× 3× 3×5×5Write the prime factorization. = 2×32× 52Write products of identical factors using exponents. Answer: 2 × 32× 52 Example 6

  15. A B C D Write the prime factorization of 180 using exponents. A. 23× 3 × 5 B. 22× 32 × 5 C. 32× 4 × 5 D. 2 × 32× 6 Example 6

  16. End of the Lesson End of the Lesson

  17. Five-Minute Check (over Lesson 1–2) Image Bank Math Tools Rectangular Arrays Area of Rectangles and Squares Resources

  18. A B C (over Lesson 1-2) Tell whether 23 is prime, composite, or neither. A. prime B. composite C. neither Five Minute Check 1

  19. A B C (over Lesson 1-2) Tell whether 57 is prime, composite, or neither. A. prime B. composite C. neither Five Minute Check 2

  20. A B C D (over Lesson 1-2) Find the prime factorization of 60. A. 2 × 30 B. 4 × 15 C. 4 × 3 × 5 D. 2 × 2 × 3 × 5 Five Minute Check 3

  21. A B C D (over Lesson 1-2) Find the prime factorization of 84. A. 4 × 21 B. 2 × 6 × 7 C. 2 × 2 × 3 × 7 D. 6 × 14 Five Minute Check 4

  22. A B C D (over Lesson 1-2) Which numbers less than 110 contain 5 × 5 in their prime factorizations? A. 25, 50, 75, 100 B. 25, 50, 75 C. 50, 100 D. 5, 25 Five Minute Check 5

  23. A B C D (over Lesson 1-2) Which is the prime factorization of 540? A. 23× 33 × 5 B. 22× 32 × 52 C. 22× 33 × 5 D. 2 × 33× 52 Five Minute Check 6

  24. End of Custom Shows

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