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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

2. Product of Powers Property

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Exercise 12 Page 329

Use the Power of a Power Property.

5^(12)

Practice makes perfect

We are given a numeric expression, and want to write an equivalent expression. (5^4)^3 Notice that this expression is a power raised to another exponent. Therefore, we can use the Power of a Power Property. This property states that when an exponential expression is raised to another exponent, we can multiply the exponents.

(5^4)^3

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

5^(4* 3)

Multiply

5^(12)

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

Subchapter links

Try It p.326-327

Self-Assessment for Concepts & Skills p.327

Self-Assessment for Problem Solving p.328

Review & Refresh p.329

Concepts, Skills, & Problem Solving p.329-330