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EXPONENTS Basic terminology Substitution and evaluating Laws of Exponents Multiplication Properties Product of powers Power to a power Power of a product.

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Presentation on theme: "EXPONENTS Basic terminology Substitution and evaluating Laws of Exponents Multiplication Properties Product of powers Power to a power Power of a product."— Presentation transcript:

1 EXPONENTS Basic terminology Substitution and evaluating Laws of Exponents Multiplication Properties Product of powers Power to a power Power of a product Zero and negative exponents Division properties of exponents Quotient of powers Power of a quotient s

2 Basic Terminology BASE EXPONENT means Important Examples

3 IMPORTANT EXAMPLES Variable Examples

4 Variable Expressions

5 Substitution and Evaluating STEPS 1.Write out the original problem. 2.Show the substitution with parentheses. 3.Work out the problem. = 64 More Examples

6 Evaluate the variable expression when x = 1, y = 2, and w = -3 Step 1 Step 2 Step 3 Step 1 Step 2 Step 3 Step 1 Step 2 Step 3

7 MULTIPLICATION PROPERTIES PRODUCT OF POWERS This property is used to combine 2 or more exponential expressions with the SAME base.

8 Gallery Walk Meet your partner at your Station (A – J) Choose 1 problem. Copy the problem on your paper and simplify. Move to the another station and repeat the process. Continue until you have finished 10 problems.

9 MULTIPLICATION PROPERTIES POWER TO A POWER This property is used to write and exponential expression as a single power of the base.

10 MULTIPLICATION PROPERTIES POWER OF PRODUCT This property combines the first 2 multiplication properties to simplify exponential expressions.

11 MULTIPLICATION PROPERTIES SUMMARY PRODUCT OF POWERS POWER TO A POWER POWER OF PRODUCT ADD THE EXPONENTS MULTIPLY THE EXPONENTS

12 ZERO AND NEGATIVE EXPONENTS ANYTHING TO THE ZERO POWER IS 1.

13 DIVISION PROPERTIES QUOTIENT OF POWERS This property is used when dividing two or more exponential expressions with the same base.

14 DIVISION PROPERTIES POWER OF A QUOTIENT Hard Example Summary of Zero, Negative, and Division Properties

15 ZERO, NEGATIVE, AND DIVISION PROPERTIES Zero power Negative Exponents Quotient of powers Power of a quotient


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