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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 32 Page 29

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

(- 3)^2 * 4^2 * (- 1)^3 or - 144

Practice makes perfect

We want to simplify the rational expression by using the Laws of Exponents. (- 3)^2* 4^3 * (- 1)^8/4 * (- 1)^5 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!

(- 3)^2* 4^3 * (- 1)^8/4 * (- 1)^5

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a* b/c=a*b/c

(- 3)^2 * 4^3 * (- 1)^8/4 * (- 1)^5

Write as a product of fractions

(- 3)^2 * 4^3/4 * (- 1)^8/(- 1)^5

a=a^1

(- 3)^2 * 4^3/4^1 * (- 1)^8/(- 1)^5

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

(- 3)^2 * 4^(3 - 1) * (- 1)^(8 - 5)

Subtract term

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

NegBaseToPosBase

(- a)^2=a^2

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

Calculate power

9 * 16 * (- 1)

Multiply

- 144

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