body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math: Modeling Real Life, Grade 8

BI

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

2. Product of Powers Property

Continue to next subchapter

Exercise 17 Page 329

Use the Product of Powers Property.

( 2/3)^8

Practice makes perfect

We are given a numeric expression, and want to write an equivalent expression. ( 2/3)^2 * ( 2/3)^6 Notice that this expression is the product of two powers with the same base. Therefore, we can start by using the Product of Powers Property. This property states that when multiplying two exponential expressions with the same base, we add the exponents.

( 2/3)^2 * ( 2/3)^6

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

( 2/3)^(2+6)

Add terms

( 2/3)^8

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