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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 8 Page 27

Use the Quotient of Powers Law. This Law states that to divide powers with the same base, we need to subtract their exponents.

4 * 5 * 6 or 120

Practice makes perfect

We want to simplify the rational expression by using the Laws of Exponents. 4^5 * 5^3 * 6^2/4^4 * 5^2 * 6 In this case, we will use the Quotient of Powers Law. This Law states that to divide powers with the same base, we need to subtract their exponents. Let's do it!

4^5 * 5^3 * 6^2/4^4 * 5^2 * 6

Write as a product of fractions

4^5/4^4 * 5^3/5^2 * 6^2/6

a=a^1

4^5/4^4 * 5^3/5^2 * 6^2/6^1

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

4^(5 - 4)* 5^(3 - 2)* 6^(2 - 1)

Subtract term

4^1 * 5^1 * 6^1

a^1=a

4 * 5 * 6

Multiply

120

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