3 2 Properties of Exponents Warm Up Problem

3 -2 Properties of Exponents Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

3 -2 Properties of Exponents Math Journal (5 Min) • “What Do I Know About” – Each student will be given the title of the lesson that will be taught that day. They must then, at the beginning of class, write about what they know about the lesson before they have been taught the lesson, and at the end of class, write about what they now know about the lesson after they have been taught the lesson. Then, each student will discuss his/her answers within their group. Finally, to leave class, each student will have to give/write 1 sentence that they now know that pertained to the lesson.

3 -2 Properties of Exponents Homework Review (5 Min)

3 -2 Properties of Exponents Warm Up Evaluate. 1. 33 27 2. 4 • 4 • 4 256 3. b 2 for b = 4 16 4. n 2 r for n = 3 and r = 2 18

3 -2 Properties of Exponents Problem of the Day Calculate 6 to the fourth power minus 56. 1240

3 -2 Properties of Exponents Textbook Examples (I Do) (5 Min)

3 -2 Properties of Exponents Learn to apply the properties of exponents.

3 -2 Properties of Exponents The factors of a power, such as 74, can be grouped in different ways. Notice the relationship of the exponents in each product. 7 • 7 • 7 = 74 (7 • 7) • 7 = 73 • 71 = 74 (7 • 7) • (7 • 7) = 72 • 72 = 74

3 -2 Properties of Exponents

3 -2 Properties of Exponents Additional Example 1: Multiplying Powers with the Same Base Multiply. Write the product as one power. A. 66 • 63 66 + 3 69 Add exponents. B. n 5 • n 7 n 5 + 7 n 12 Add exponents.

3 -2 Properties of Exponents Additional Example 1: Multiplying Powers with the Same Base Continued Multiply. Write the product as one power. C. 25 • 2 25 + 1 26 Think: 2 = 2 1 Add exponents. D. 244 • 244 24 4 + 4 24 8 Add exponents.

3 -2 Properties of Exponents Check It Out: Example 1 Multiply. Write the product as one power. A. 42 • 44 42 + 4 46 Add exponents. B. x 2 • x 3 x 2 + 3 x 5 Add exponents.

3 -2 Properties of Exponents Check It Out: Example 1 Multiply. Write the product as one power. C. x 5 • y 2 Cannot combine; the bases are not the same. D. 412 • 417 41 2 + 7 41 9 Add exponents.

3 -2 Properties of Exponents Notice what occurs when you divide powers with the same base. 5 5 55 2 = 5 5 = = = 5 5 5 53

3 -2 Properties of Exponents Additional Example 2: Dividing Powers with the Same Base Divide. Write the quotient as one power. A. 5 7 3 7 75 – 3 7 Subtract exponents. 2 10 B. x 9 x x 10 – 9 x Subtract exponents. Think: x 1 = x

3 -2 Properties of Exponents Check It Out: Example 2 Divide. Write the product as one power. A. 99 92 99 – 2 97 B. Subtract exponents. e 10 e 5 e 10 – 5 5 e Subtract exponents.

3 -2 Properties of Exponents Reading Math 4 5 (9 ) is read as “nine to the fourth, to the fifth. ”

3 -2 Properties of Exponents Additional Example 3: Raising a Power to a Power Simplify. A. (54)2 54 • 2 Multiply exponents. 58 B. (67)9 67 • 9 663 Multiply exponents.

3 -2 Properties of Exponents Additional Example 3: Raising a Power to a Power Simplify. C. 2 3 12 – 3 Multiply exponents. 2 3 12 • – 3 D. (172)– 20 Multiply exponents. 172 • – 20 17– 40

3 -2 Properties of Exponents Check It Out: Example 3 Simplify. A. (33)4 33 • 4 Multiply exponents. 312 B. (48)2 48 • 2 416 Multiply exponents.

3 -2 Properties of Exponents Check It Out: Example 3 Simplify. C. 1 4 11 – 2 Multiply exponents. 1 4 11 • – 2 D. (134)– 10 Multiply exponents. 134 • – 10 13– 40

3 -2 Properties of Exponents Class work Problems (We Do) (10 Min) • Pg. 98 -99 (1 -12)

3 -2 Properties of Exponents

3 -2 Properties of Exponents Small Group CW(Yall Do) (10 Min) • Pg. 98 -99 (14 -48 EOE)

3 -2 Properties of Exponents

3 -2 Properties of Exponents Homework (You Do) (10 Min) • Pg. 98 -99 (13, 17, 21, 25, 37 odd)

3 -2 Properties of Exponents Math Journal (5 Min) • “What Do I Know About” – Each student will be given the title of the lesson that will be taught that day. They must then, at the beginning of class, write about what they know about the lesson before they have been taught the lesson, and at the end of class, write about what they now know about the lesson after they have been taught the lesson. Then, each student will discuss his/her answers within their group. Finally, to leave class, each student will have to give/write 1 sentence that they now know that pertained to the lesson.

3 -2 Properties of Exponents Lesson Quizzes Standard Lesson Quiz for Student Response Systems

3 -2 Properties of Exponents Lesson Quiz Write the product or quotient as one power. 1. n 3 n 4 109 3. 105 n 7 104 2. 8 • 88 89 t 9 4. t 7 t 2 5. 32 • 33 • 35 310 6. (m 2)19 m 38 7. (9 -8)9 9– 72 8. (104)0 1