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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

Chapter Review

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Exercise 15 Page 364

Start by using the Product of Powers Property.

5^(10)

Practice makes perfect

We are given a numeric expression, and want to write an equivalent expression. 5^2 * 5^9/5 Notice that this expression involves the product of two powers with the same base. Therefore, we can use the Product of Powers Property. This property states that when multipling two exponential expressions with the same base, we add the exponents.

5^2 * 5^9/5

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

5^(2+9)/5

Add terms

5^(11)/5

Now, we have the quotient of two powers with the same base. Therefore, we can use the Quotient of Powers Property. This property states that when dividing two exponential expressions with the same base, we subtract the exponents.

5^(11)/5

a=a^1

5^(11)/5^1

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

5^(11-1)

Subtract term

5^(10)

Subchapter links

1 Exponents p.363

2 Product of Powers Property p.363

3 Quotient of Powers Property p.364

4 Zero and Negative Exponents p.364

5 Estimating Quantities p.365

6 Scientific Notation p.365

7 Operations in Scientific Notation p.365