Integer Exponents

​Integer Exponents

Module 2 Section 1​

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Multiple Choice

Mixed Review: Write in exponential form : $$2\cdot2\cdot2\ =\ ?$$  

• $$2^3$$  

• $$8^3$$  

• $$6^3$$  

• None of the Above

Multiple Choice

Mixed Review: Write in exponential form : $$7\cdot7\cdot7\cdot7\cdot7\ =\ ?$$  

• $$7^5$$  

• $$5^7$$  

• $$14^3$$  

• None of the Above

Exponent​

• The number that indicates how many times the base is used as a factor.​​

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​Vocabulary

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• ​A number multiplied by another number to get a product.

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​Factor

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• The number that has the exponent.​ The number being multiplied by itself.

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​Base

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Multiple Choice

What is the number that indicates how many times the base is used as a factor?

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• Exponent

• Factor

• Base

• Product

Multiple Choice

What is the number that has the exponent, or the number being multiplied by itself?

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• Exponent

• Factor

• Base

• Product

Multiple Choice

What is a number multiplied by another number to get a product.

• Exponent

• Factor

• Base

• Product

• 5³​ = 5⋅5⋅5 = 125

• 5² = 5⋅5 = 25

• 5¹​ = 5

• 5⁰​ = ?

• 5⁻​¹ = ?

​Powers of 5

• ​3³ = 3⋅3⋅3 = 27

• 3²​ = 3⋅3 = 9

• 3¹​ = 3

• 3⁰​ = ?

• 3⁻¹​ = ?

​Powers of 3

​Patterns of Exponents

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Open Ended

Describe one pattern that you noticed.

• Any base taken to the power of zero equals 1.

• !! Exception !! - the base can not be zero.

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​Zero Exponent Rule

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• A base taken to a negative power will become that base to that power as a denominator under 1.

• AKA Reciprocal

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​Negative Exponent Rule

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Multiple Choice

What is the rule that stating that a base taken to a negative power will become that base to that power as a denominator under 1?

• Zero Exponent Rule

• Negative Exponent Rule

• Power Rule

• Quotient Rule

Multiple Choice

What is the rule that stating that any base taken to the power of zero equals 1?

• Zero Exponent Rule

• Negative Exponent Rule

• Power Rule

• Quotient Rule

Fill in the Blanks

Another way of explaining the negative power rule is to say that the base and negative power create the positive powers what?

Open Ended

What did you think of today's lesson, and the format?