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The exponent is sometimes referred to as the power.

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Presentation on theme: "The exponent is sometimes referred to as the power."— Presentation transcript:

1 The exponent is sometimes referred to as the power.
Vocabulary Exponent 46 Base The exponent is sometimes referred to as the power.

2 What is the meaning of 46 ? 46 means to multiply the base 4 by itself 6 times.

3 The meaning of the exponent:
1.) 46 = 4•4•4•4•4•4 2.) 43 = 4 • 4 • 4 3.) 41 = 4 4.) 40 = ?

4 The meaning of the exponent:
4.) 40 = 1 5.) 4-1 = 1/4 If 8/4 = 2, then we can say that 23/ 22 = 21. So if 4/4 = 1,we can say that 22/ 22 = 20, therefore 20 must EQUAL 1.

5 As the exponent gets smaller, what do you notice about the answer?
Fill-in the chart 5.) 20 = 6.) 2-1 = 7.) 2-2 = 1/4 8.) 2-3 = 1.) 24 = 2.) 23 = 8 3.) = 4 4.) 21 = As the exponent gets smaller, what do you notice about the answer?

6 Fill - in the chart 5.) 20 = 1 1.) 24 = 16 6.) 2-1 = 1/2 2.) 23 = 8
7.) 2-2 = 1/4 8.) 2-3 = 1/8 1.) 24 = 16 2.) 23 = 8 3.) 22 = 4 4.) 21 = 2

7 Evaluate the following expressions with exponents
1.) n3 when n =4 43 = 4 • 4 • 4 = 64 43 = 64

8 Evaluate the following expressions with exponents
2.) 15 + x2 when x = 5 • 5 = 40

9 Evaluate the following expressions with exponents
3.) (3a + 6b)2 when a = 1 & b = 2 (3(1) + 6(2))2 (3 + 12)2 (15)2 225

10 Evaluate the following expressions with exponents
4.) 2x3 and (2x)3 when x = 4 2(43) and (2•4)3 2(64) and (8)3 and 512

11 Closure 1.) What’s the difference between an expression and an equation? 2.) What the difference between a term and a factor?

12 Closure - Name the following
What’s this? What’s this? 2 4

13 Closure - Name the following
3x + 2 1.) is 3 a factor or term? 2.) What is the 2 called? 3.) Is 3x a factor or a term? 4.) Is 3x + 2 an expression or an equation?


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