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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

1. Zero and Negative Exponents

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Exercise 67 Page 423

What does the Negative Exponent Property say?

21

Practice makes perfect

To simplify the given exponential expression, we will use the Negative Exponent Property. a^(- n)=1/a^n, for every nonzero numbera and integern Let's try to simplify the given expression using this property.

(- 5)^2-(0.5)^(-2)

Write as a fraction

(- 5)^2-(1/2)^(-2)

(a/b)^m=a^m/b^m

(- 5)^2-1^(- 2)/2^(- 2)

1^a=1

(- 5)^2-1/2^(- 2)

NegExponentToFrac

a^(- m)=1/a^m

(- 5)^2-1/1/2^2

a/b/c= a * c/b

(- 5)^2-1(2^2)/1

Identity Property of Multiplication

(- 5)^2-2^2/1

a/1=a

(- 5)^2-2^2

Calculate power

25-4

Subtract terms

21

Subchapter links

Lesson Check p.421

Practice and Problem-Solving Exercises p.421-423

Standardized Test Prep p.423

Mixed Review p.423