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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 6 Page 338

What does the definition of a zero exponent say?

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Practice makes perfect

To simplify the given exponential expression, we will use three Properties of Exponents. The first one is the Product of Powers Property.

Product of Powers Property
To multiply powers with the same base, add their exponents.

We will also use the Quotient of Powers Property.

Quotient of Powers Property
To divide powers with the same base, subtract their exponents.

Moreover, we will use the definition of a zero exponent.

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

Let's evaluate the given expression using these properties.

4^5 * 4^(- 3)/4^2

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

4^(5 + (- 3))/4^2

a+(- b)=a-b

4^2/4^2

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

4^(2 - 2)

Subtract term

4^0

a^0=1

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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