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Understanding Exponents: Definitions, Evaluations, and Key Concepts

This resource explores the concept of exponents, detailing how to multiply a base number by itself and evaluating various expressions using exponents. It covers the meaning of exponential notation, provides examples with numbers, and draws distinctions between terms and factors within mathematical expressions and equations. The content includes practice problems and a fill-in-the-chart activity to solidify understanding, making it essential for students learning about exponents.

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Understanding Exponents: Definitions, Evaluations, and Key Concepts

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Presentation Transcript


    1. Vocabulary 46

    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𠪔𠪔4 2.) 43 = 4 4 4 3.) 41 = 4 4.) 40 = ?

    4. The meaning of the exponent: 4.) 40 = 1

    5. Fill-in the chart 1.) 24 = 2.) 23 = 8 3.) = 4 4.) 21 =

    6. Fill - in the chart 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 15 + 52 15 + 5 5 15 + 25 = 40

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

    10. Evaluate the following expressions with exponents 4.) 2x3 and (2x)3 when x = 4 2(43) and (24)3 2(64) and (8)3 128 and 512

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

    12. Closure - Name the following

    13. Closure - Name the following 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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