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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 10 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.

2^2 * (- 3)^3*(- 5) or 540

Practice makes perfect

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

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

Write as a product of fractions

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

a=a^1

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

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

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

Subtract term

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

a^1=a

(- 2)^2*(- 3)^3*(- 5)

NegBaseToPosBase

(- a)^2=a^2

2^2 * (- 3)^3*(- 5)

Calculate power

4 * (- 27)* (- 5)

a(- b)=- a * b

- 108 * (- 5)

MultNegNegOnePar

- a(- b)=a* b

540

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