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Glencoe Math: Course 3, Volume 1

GM

Glencoe Math: Course 3, Volume 1 View details

3. Multiply and Divide Monomials

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Exercise 9 Page 27

Use the Product of Powers Law and then the Quotient of Powers Law.

6^5 or 7776

Practice makes perfect

We want to simplify the rational expression by using the Laws of Exponents. 6^3 * 6^6 * 6^4/6^2 * 6^3 * 6^3 In this case, we will use the Product of Powers Law. This Law states that to multiply powers with the same base, we need to add their exponents. Then, we will use the Quotient of Powers Property. Let's do it!

6^3 * 6^6 * 6^4/6^2 * 6^3 * 6^3

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

6^(3+6+4)/6^(2+3+3)

Add terms

6^(13)/6^8

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

6^(13 - 8)

Subtract term

6^5

Calculate power

7 776

Subchapter links

Guided Practice p.26

Independent Practice p.27-28

H.O.T. Problems p.28

Standardized Test Practice p.28-30

Extra Practice p.29

Common Core Review p.30