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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

4. Zero and Negative Exponents

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Exercise 31 Page 342

What does the definition of a negative exponent say?

w^6/9

Practice makes perfect

To simplify the given exponential expression, we will use the definition of a zero exponent.

Zero Exponents
a^0=1, for every nonzero number a

We will also use the definition of a negative exponent.

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

Let's simplify the given expression using these definitions.

3^(- 2)* k^0* w^0/w^(- 6)

a^0=1

3^(- 2)* 1 * 1/w^(- 6)

a * 1=a

3^(- 2)/w^(- 6)

a/b=a* 1/b

3^(- 2)* 1/w^(- 6)

NegExponentToFrac

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

1/3^2* 1/1/w^6

a/b/c= a * c/b

1/3^2* w^6/1

Multiply fractions

w^6/3^2

Calculate power

w^6/9

Subchapter links

Try It p.338-339

Self-Assessment for Concepts & Skills p.339

Self-Assessment for Problem Solving p.340

Review & Refresh p.341

Concepts, Skills, & Problem Solving p.341-342