1 / 21

Lesson Menu

Lesson Menu. Main Idea and New Vocabulary Key Concept: Product of Powers Example 1: Multiply Powers Example 2: Multiply Powers Example 3: Multiply Powers Key Concept: Quotient of Powers Example 4: Divide Powers Example 5: Divide Powers Example 6: Real-World Example

williamvmiller
Download Presentation

Lesson Menu

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. Lesson Menu Main Idea and New Vocabulary Key Concept: Product of Powers Example 1: Multiply Powers Example 2: Multiply Powers Example 3: Multiply Powers Key Concept: Quotient of Powers Example 4: Divide Powers Example 5: Divide Powers Example 6: Real-World Example Example 7: Simplify Expressions

  2. Simplify real number expressions by multiplying and dividing monomials. • monomial Main Idea/Vocabulary

  3. Key Concept

  4. Multiply Powers Simplify 76 • 7. Express using exponents. 76 • 7 = 76 • 717 = 71 = 76 + 1 The common base is 7. = 77 Add the exponents. Example 1

  5. Multiply Powers Check76 · 7 = (7 · 7 · 7  7 · 7 · 7) · 7 = 7 · 7 · 7  7 · 7 · 7 · 7 = 77 Answer: 77 Example 1

  6. Simplify 8• 85. Express using exponents. A. 84 B. 85 C. 86 D. 88 Example 1 CYP

  7. Multiply Powers Simplify r4•r6. Express using exponents. r4 • r6 = r4 + 6The common base is r. = r10 Add the exponents. Answer: r10 Example 2

  8. Simplify t9 • t2. Express using exponents. A.t4.5 B.t7 C.t11 D.t18 Example 2 CYP

  9. Multiply Powers Simplify –7x2 • 11x4. Express using exponents. –7x2 • 11x4 = (–7 • 11)(x2 • x4)Commutative and Associative Properties = (–77)(x2 + 4)The common base is x. = –77x6Add the exponents. Answer: –77x6 Example 3

  10. Simplify 4n6(–2n5). Express using exponents. A. –8n30 B. –8n11 C. 8n30 D. 8n Example 3 CYP

  11. Key Concept 4

  12. Simplify . Express using exponents. Divide Powers = 612 – 2The common base is 6. = 610 Simply. Answer: 610 Example 4

  13. Simplify . Express using exponents. A. 82 B. 85 C. 815 D. 8–5 Example 4 CYP

  14. Simplify . Express using exponents. Divide Powers = a14 – 8The common base is a. = a6 Simply. Answer: a6 Example 5

  15. Simplify . Express using exponents. A.h4 B.h14 C.h15 D.h20 Example 5 CYP

  16. MEASUREMENTOne centimeter is equal to 10 millimeters, and one kilometer is equal to 106millimeters. How many centimeters are in one kilometer? 10 = 101 = 106 – 1 or 105Quotient of Powers Answer: There are 105 centimeters in one kilometer. Example 6

  17. MEASUREMENTOne metric ton is equal to 106 grams and one hectogram is equal to 102 grams. How many times greater is a metric ton than a hectogram? A.103times greater B.104times greater C.108times greater D.1012times greater Example 6 CYP

  18. Simplify Simplify Expressions Group by common base. = 21 • 52• 91 Subtract the exponents. = 2• 25• 9 52 = 25 = 450 Simplify. Answer: 450 Example 7

  19. Simplify . Express using exponents. A.144 B.1,152 C.1,536 D.9,116 Example 7 CYP

More Related