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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 28 Page 364

What does the Negative Exponent Property say?

z^7/3

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.

3^(- 1) * z^5/z^(- 2)

FracToNegExponent

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

3^(- 1) * z^5 * z^(- (- 2))

- (- a)=a

3^(- 1) * z^5 * z^2

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

3^(- 1) * z^(5+2)

Add terms

3^(- 1) * z^7

NegExponentToFrac

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

1/3 * z^7

MoveRightFacToNum

a/c* b = a* b/c

z^7/3

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