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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 73 Page 423

What does the Negative Exponent Property say?

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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.

-6(-6)^(-1)

NegExponentToFrac

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

-6 * 1/(-6)^1

a^1=a

-6 * 1/-6

DenomMultFracToNumber

- 6 * a/- 6= a

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Alternative Solution

Alternative Solution

There is another way of tackling this exercise, which uses the Product of Powers Property. Let's do it!

-6(-6)^(-1)

a=a^1

(-6)^1(-6)^(-1)

a^m*a^n=a^(m+n)

(- 6)^(1+(- 1))

a+(- b)=a-b

(- 6)^0

a^0=1

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Subchapter links

Lesson Check p.421

Practice and Problem-Solving Exercises p.421-423

Standardized Test Prep p.423

Mixed Review p.423