Use powers and exponents in expressions base exponent

• Use powers and exponents in expressions. • base • exponent • power • squared • cubed

Write Powers and Products Write 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 = 54 Answer: 54 Write as a power.

Write 4 × 4 × 4 × 4 using an exponent. A. 414 B. 47 C. 74 D. 142 1. 2. 3. 4. A B C D

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 = 512 Answer: 8 × 8; 512 Write 83 as a product. Multiply.

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

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

Write the prime factorization of 144 using exponents. A. 24 × 32 B. 22 × 34 C. 22 × 62 D. 32 × 42 1. 2. 3. 4. A B C D

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

Write the prime factorization of 162 using exponents. A. 22 × 32 B. 24 × 3 C. 2 × 34 D. 33 × 6 1. 2. 3. 4. A B C D

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

Write the prime factorization of 180 using exponents. A. 23 × 5 B. 22 × 32 × 5 C. 32 × 4 × 5 D. 2 × 32 × 6 1. 2. 3. 4. A B C D

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

(over Lesson 1 -2) Tell whether 23 is prime, composite, or neither. A. prime B. composite C. neither 1. 2. 3. A B C

(over Lesson 1 -2) Tell whether 57 is prime, composite, or neither. A. prime B. composite C. neither 1. 2. 3. A B C

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

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