body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Glencoe Math: Course 3, Volume 1

GM

Glencoe Math: Course 3, Volume 1 View details

3. Multiply and Divide Monomials

Continue to next subchapter

Exercise 6 Page 26

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 * 5 or 720

Practice makes perfect

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

Write as a product of fractions

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

a=a^1

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

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

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

Subtract term

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

NegBaseToPosBase

(- a)^2=a^2

3^2 * 4^2 * 5^1

a^1=a

3^2 * 4^2 * 5

Calculate power

9 * 16 * 5

Multiply

720

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