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Lesson Menu. Over Lesson 7–2 5-Minute Check 1 Splash Screen Rational Exponents Lesson 7-3.

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Presentation on theme: "Lesson Menu. Over Lesson 7–2 5-Minute Check 1 Splash Screen Rational Exponents Lesson 7-3."— Presentation transcript:

1 Lesson Menu

2 Over Lesson 7–2 5-Minute Check 1

3 Splash Screen Rational Exponents Lesson 7-3

4 Then/Now Understand how to rewrite and evaluate expressions involving rational exponents and solve equations containing rational expressions.

5 Vocabulary

6 Concept

7 Example 1A Radical and Exponential Forms Answer: 9 Write each expression in radical form, or write each radical in exponential form. = 9Simplify.

8 Example 1B Radical and Exponential Forms Write each expression in radical form, or write each radical in exponential form.

9 Example 1CYP

10 Concept

11 Example 2A nth Roots A. B. C.

12 Concept

13 Example 3 Evaluate b Expressions Answer: 11 A. = 11Simplify.

14 Example 3 Evaluate b Expressions Answer: 7 = 7Simplify. B.

15 Example 3

16 Concept

17 Example 4A Evaluate b Expressions Answer: 4 = 2 2 2 5 = 32 = 4Simplify.

18 Example 4B Evaluate b Expressions Answer: 59,049 = 9 5 9 2 = 81 = 59,049Simplify.

19 Example 4

20 Concept

21 Example 5A Solve Exponential Equations A. Solve 9 x = 729. Answer:3 9 x = 729Original equation 9 x = 9 3 Rewrite 729 as 9 3. x= 3Power Property of equality

22 Example 5B Solve Exponential Equations B. Solve 16 2x – 1 = 8. 16 2x – 1 = 8 Original equation (2 4 ) 2x – 1 = 2 3 Rewrite 16 as 2 4 and 8 as 2 3. 2 8x – 4 = 2 3 Power of a Power, Distributive Property 8x – 4= 3Power Property of Equality 8x = 7Add 4 to each side. Divide each side by 8. Answer:

23 Example 5A Solve 93 x + 1 = 27 4.

24 Example 6 BIOLOGY The population p of a culture that begins with 40 bacteria and doubles every 8 hours can be modeled by, where t is time in hours. Find t if p = 20,480. Original equation p = 20,480 Divide each side by 40. Solve Exponential Equations

25 Example 6 Solve Exponential Equations Rewrite 512 as 2 9. 72= tMultiply each side by 8. Power Property of Equality Answer:72

26 Example 6 NEWS The number of hits to a news story online can be modeled by, where t is time in hours. Find t if h = 24,576.

27 End of the Lesson Homework p


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