1 / 19

4-3

4-3. Properties of Exponents. Course 3. Warm Up. Problem of the Day. Lesson Presentation. Warm Up Evaluate. 27. 1. 3 3. 2. 4 • 4 • 4 • 4. 256. 3. b 2 for b = 4 . 16. 4. n 2 r for n = 3 and r = 2. 18. Problem of the Day Calculate 6 to the fourth power minus 56.

arwen
Download Presentation

4-3

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 4-3 Properties of Exponents Course 3 Warm Up Problem of the Day Lesson Presentation

  2. Warm Up Evaluate. 27 1. 33 2. 4 • 4 • 4 • 4 256 3.b2 for b = 4 16 4. n2r for n = 3 and r = 2 18

  3. Problem of the Day Calculate 6 to the fourth power minus 56. 1240

  4. Learn to apply the properties of exponents.

  5. 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 • 7 = 74 (7 • 7 • 7) • 7 = 73 • 71 = 74 (7 • 7) • (7 • 7) = 72 • 72 = 74

  6. A. 66 •63 6 6+ 3 6 9 n 5 + 7 n 12 Additional Example 1: Multiplying Powers with the Same Base Multiply. Write the product as one power. Add exponents. B. n5 •n7 Add exponents.

  7. 1 Think: 2 = 2 2 5 + 1 2 6 24 4 + 4 24 8 Additional Example 1: Multiplying Powers with the Same Base Continued Multiply. Write the product as one power. C. 25 • 2 Add exponents. D.244• 244 Add exponents.

  8. A. 42 •44 4 2 + 4 4 6 x 2 + 3 x 5 Check It Out: Example 1 Multiply. Write the product as one power. Add exponents. B. x2 •x3 Add exponents.

  9. 41 2 + 7 41 9 Check It Out: Example 1 Multiply. Write the product as one power. C. x5 • y2 Cannot combine; the bases are not the same. x5 • y2 D.412• 417 Add exponents.

  10. 5555 5 5555 5 5 5 = = = 5 •5 = 52 555 555 53 Notice what occurs when you divide powers with the same base.

  11. 5 – 3 10 – 9 x 7 9 10 3 2 5 7 x x 7 7 Think: x = x 1 Additional Example 2: Dividing Powers with the Same Base Divide. Write the quotient as one power. A. Subtract exponents. B. Subtract exponents. x

  12. 9 – 2 9 10 – 5 e 5 e Check It Out: Example 2 Divide. Write the product as one power. 9 9 A. 9 2 Subtract exponents. 97 e 10 B. e 5 Subtract exponents.

  13. Reading Math 5 4 (9 ) is read as “nine to the fourth, to the fifth.” RAISING A POWER TO A POWER

  14. Additional Example 3: Raising a Power to a Power Simplify. A. (54)2 (54)2 = 54 • 2 Multiply exponents. = 58 B. (67)9 (67)9 Multiply exponents. = 67 • 9 = 663

  15. 2 3 2 3 12 –3 12 • –3 = –36 2 3 = Additional Example 3: Raising a Power to a Power Simplify. D. (172) –20 C. (172) –20 Multiply exponents. Multiply exponents. = 172 • –20 = 17–40

  16. Check It Out: Example 3 Simplify. A. (33)4 (33)4 = 33 • 4 Multiply exponents. = 312 B. (48)2 (48)2 Multiply exponents. = 48 • 2 = 416

  17. 1 4 1 4 11 –2 11• –2 = –22 1 4 = Check It Out: Example 3 Simplify. D. (134) –10 C. (134) –10 Multiply exponents. Multiply exponents. = 134 • –10 = 13–40

  18. n 7 8 9 109 4 10 105 t 2 t9 t7 3 10 Lesson Quiz Write the product or quotient as one power. 1. n3n4 2. 8 • 88 4. 3. 6. (m2)19 m38 5. 32 • 33 • 35 8. (104)0 1 7. (9-8)9 9–72

More Related