Warm-up: Exponent Laws

Slides:

Advertisements

Similar presentations

6.1 Exponential Growth and Decay Date: ______________.

Advertisements

Section 5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models.

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

Logarithm Jeopardy The number e Expand/ Condense LogarithmsSolving More Solving FINAL.

Prerequisite Skills VOCABULARY CHECK Copy and complete using a review word from the list: power, base, exponent, fraction. ANSWERbase ANSWERpower ANSWERexponent.

LOGS EQUAL THE The inverse of an exponential function is a logarithmic function. Logarithmic Function x = log a y read: “x equals log base a of y”

Lesson 1 – Exponent Laws 30 Learning Goal I can use the exponent laws to simplify exponential expressions Unit 6: Exponential Functions.

Warm up. 3.4 Solving Exponential & Logarithmic Equations Standards 13, 14.

7-5 Exponential and Logarithmic Equations and Inequalities Warm Up

Solving Exponential Equations II LG: I can use trial and error to solve exponential equations.

Evaluating Algebraic Expressions 4-1Exponents Warm Up Find the product (–7) (–7) (–7) –

8.2 Zero and Negative Exponents Goal Evaluate powers that have zero or negative exponents. Key Words zero exponent negative exponent reciprocal.

Lesson 7-1 Warm-Up.

 To simplify expressions containing positive integral exponents.  To solve exponential equations.

Algebra I Unit 7 Review. Unit 7 Review 1)A population of bacteria triples in size every day. a) Model the bacteria population with an exponential function.

Warm-up: Exponent Laws Use exponent Laws to simplify each of the following: a) x 3 x 2 b) y 2 y -4 c) (d 5 ) -2 d) e) f)

HW # 41- Basic Exponents Worksheet Warm up Week 12, Day Three Evaluate b 2 for b = 4 4. n 2 r for n = 3 and r = 2.

7.4 Logarithmic Functions Write equivalent forms for exponential and logarithmic equations. Use the definitions of exponential and logarithmic functions.

Growth and Decay: Integral Exponents

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 6.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and.

Section 5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models.

Aim: How do we work on the expression with negative or zero exponent?

Exponent Quiz Review. Evaluate the expression 4 2  Answer: 16.

4.1 Properties of Exponents PG Must Have the Same Base to Apply Most Properties.

Warm Up What is each expression written as a single power?

6-1 Solving Systems by Graphing 6-2 Solving Systems by Substitution 6-3 Solving Systems by Elimination 6-4 Solving Special Systems 6-5 Applying Systems.

Warm up Simplify the following: 1.) 2.) 3.) 4.). Chapter 8.7 Exponential Functions.

7-1 Integer Exponents 7-2 Powers of 10 and Scientific Notation 7-3 Multiplication Properties of Exponents 7-4 Division Properties of Exponents 7-5 Fractional.

ALGEBRA CHAPTER 8 TEST REVIEW. A)B) C)D) 1. Simplify the expression.

9-6 EXPONENTIAL GROWTH AND DECAY PG. 38 (NOTEBOOK) Y = amount remaining after Growth or decay A = Initial amount of material t = time the material has.

+ Chapter 8 Exponential and Logarithmic Functions.

Holt Algebra Exponential Functions, Growth, and Decay 7-1 Exponential Functions, Growth and Decay Holt Algebra 2 Warm Up Warm Up Lesson Presentation.

8.1 Exploring Exponential Models

Modeling Exponential Functions

UNIT 5: Exponential Growth / Decay Formula:

13 – Exponential vs. Linear Functions Calculator Required

8.1 Exploring Exponential Models

Interpreting Exponential Functions

Exponential and Logistic Modeling

Exponential Growth & Decay

8.1 Exponential Growth

Algebra I Chapter 8 Review

Warm Up Find a partner at your table.

Differential Equations Growth and Decay

UNIT 5: Exponential Growth / Decay Formula:

Warm Up Find a partner at your table.

5.5 Properties and Laws of Logarithms

Warm Up - Simplify 1) 2) 3) )

Warm Up Find the product • 5 • 5 • • 3 • 3 27

Day Exploring Exponential Models

Exponential Growth / Decay Formula:

Warm Up Find a partner at your table.

Zero and Negative Exponents

Exponential Growth and Decay; Logistic Growth and Decay

Section 4.8: Exponential Growth & Decay

What strategy did you use to solve for x?

Exponential Growth and Decay

Section 4.8: Exponential Growth & Decay

8.1 Exploring Exponential Models

Warm Up Lesson Presentation Lesson Quizzes.

LEARNING GOALS – LESSON 7.1

Day Exploring Exponential Models

Exponents is repeated multiplication!!!

8.1 – 8.3 Review Exponents.

4.1 Properties of Exponents

Logarithmic Functions

Presentation transcript:

Warm-up: Exponent Laws Use exponent Laws to simplify each of the following: a) x3x2 b) y2y-4 c) (d5)-2 d) e) f)

Exponential Equations LG: I can evaluate exponential equations

Exponential Equations a = initial value b = growth/decay factor b > 1 = Growth (y-values get progressively bigger) b < 1 = Decay (y-values get progressively smaller)

Example 1: A strain of bacteria currently has a population of 124 cells and doubles every hour. What do x and y represent? Is this growth or decay? How many cells will be present in 4 hours? 2 hours ago? How would the equation change if the strain of bacteria began with 62 cells and tripled every hour?

Example 2: Evaluating Expressions with Exponents Evaluate when a = 1, b = -2, and c = 3 (a-2b)(a3b4) Simplify, then sub in given values

Example 3: Evaluating Expressions with Exponents Evaluate when a = -3 and b = 4 (a5b2)3 (2a2b)5 Simplify, then sub in given values

Practice Pg. 363 # 7-10, 12, 14