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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

Chapter Review

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Exercise 24 Page 364

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.

Negative Exponent Property
1/a^n=a^(- n), for every nonzero number a

Let's simplify the given expression using this property.

1/7^9 * 1/7^(- 6)

FracToNegExponent

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

7^(- 9) * 7^(-(- 6))

- (- a)=a

7^(- 9) * 7^6

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

7^(-9 +6)

Add terms

7^(- 3)

NegExponentToFrac

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

1/7^3

Calculate power

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Subchapter links

1 Exponents p.363

2 Product of Powers Property p.363

3 Quotient of Powers Property p.364

4 Zero and Negative Exponents p.364

5 Estimating Quantities p.365

6 Scientific Notation p.365

7 Operations in Scientific Notation p.365