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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 23 Page 364

What does the Zero Exponent Property say? How about the Negative Exponent Property?

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Practice makes perfect

To simplify the given exponential expression, we will use two Properties of Exponents. The first one is the Zero Exponent Property.

Zero Exponent Property
a^0=1, for every nonzero number a

We will also use the Negative Exponent Property.

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

Let's simplify the given expression using these properties.

(- 12)^(- 7) * (- 12)^7

NegExponentToFrac

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

1/(- 12)^7 * (- 12)^7

MoveRightFacToNum

a/c* b = a* b/c

(- 12)^7/(- 12)^7

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

(- 12)^(7-7)

Subtract term

(- 12)^0

a^0=1

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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