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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

5. Irrational Numbers

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Exercise 6 Page 406

Use the Product of Powers Property.

- 9^(11)

Practice makes perfect

We are given a numeric expression and want to write an equivalent expression. (- 9)^4*(- 9)^7 Notice that this expression is the product of two powers with the same base. Therefore, we can use the Product of Powers Property. This property states that when multiplying two exponential expressions with the same base, we add the exponents.

(- 9)^4*(- 9)^7

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

(- 9)^(4+7)

Add terms

- 9^(11)

Please note we have only shown one of the many possible equivalent expressions.

Subchapter links

Try It p.402-404

Self-Assessment for Concepts & Skills p.404

Self-Assessment for Problem Solving p.405

Review & Refresh p.406

Concepts, Skills, & Problem Solving p.406-408