Warm Up Multiply. 1. 3  3  3 27 2. 4  4  4 64 3. 2  2  2  2 16 4. 5  5  5  5 625

I can…learn to represent numbers by using exponents.

Vocabulary exponent base exponential form

Teacher Input An exponent tells how many times a number called the base is used as a factor. A number is in exponential form when it is written with a base and an exponent. Exponent 73 Base = 7  7  7= 343

Teacher Input Exponential Form 101 Read “10 to the 1st power” Multiply Value

Teacher Input Exponential Form 102 Read “10 squared,” or “10 to the 2nd power” Multiply 10  10 Value 100

Teacher Input Exponential Form 103 Read “10 cubed,” or “10 to the 3rd power” Multiply 10  10  10 Value 1,000

Teacher Input Exponential Form 104 Read “10 to the 4th power” Multiply 10  10  10  10 Value 10,000

Additional Example 1: Writing Numbers in Exponential Form Teacher Modeling Additional Example 1: Writing Numbers in Exponential Form Write each expression in exponential form. A. 5  5  5  5 B. 3  3  3  3  3 54 5 is a factor 4 times. 35 3 is a factor 5 times. Copy in your notebook to use as models.

Write each expression in exponential form. Collaborative Practice Check It Out: Example 1 Write each expression in exponential form. A. 7  7  7 B. 6  6  6  6  6  6 73 7 is a factor 3 times. 66 6 is a factor 6 times.

Additional Example 2: Finding the Value of Numbers in Exponential Form Teacher Modeling Additional Example 2: Finding the Value of Numbers in Exponential Form Find each value. A. 26 B. 45 26 = 2  2  2  2  2  2 = 64 45 = 4  4  4  4  4 = 1,024 Copy in your notebook to use as models.

Collaborative Practice Check It Out: Example 2 Find each value. A. 34 B. 25 34 = 3  3  3  3 = 81 25 = 2  2  2  2  2 = 32

Independent Practice Write each expression in exponential form. 1. 12  12  12 2. 9  9  9  9  9  9  9 Find each value. 3. 202 4. 64 123 97 400 1,296 When you finish, complete the secret message math sheet. You may use your notes for the sheet if needed.

Closing Exit Ticket 1. Write the following in exponential form. 15  15  15 2. What is the value of 33 ?

Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems