1 / 17

Multiplying and Dividing Monomials

Multiplying and Dividing Monomials. Objectives:. Understand the concept of a monomial Use properties of exponents to simplify expressions. 5, -21, 0. 2x, 4ab 2 , -7m 3 n 8. Monomial. An expression that is either:. a constant. a variable. a product of a constant and 1 or

redell
Télécharger la présentation

Multiplying and Dividing Monomials

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Multiplying and Dividing Monomials

  2. Objectives: • Understand the concept of a monomial • Use properties of exponents to simplify expressions

  3. 5, -21, 0 2x, 4ab2, -7m3n8 Monomial An expression that is either: • a constant • a variable • a product of a constant and 1 or • more variables

  4. Multiply (a3b4)(a5b2) (a3a5)(b4b2) Group like bases Which property was applied? Commutative Property Answer: a8b6 When multiplying, add the exponents.

  5. Multiply (5a4b3)(2a6b5)

  6. Multiply (5a4b3)(2a6b5) Multiply the coefficients

  7. Multiply (5a4b3)(2a6b5) 10(a4b3)(a6b5) Multiply the coefficients Group like bases 10(a4a6)(b3b5) Answer: 10a10b8 When multiplying, add the exponents.

  8. Try This! 1. (a2b3)(a9b) Answer: a11b4 2. (3a12b4)(-5ab2)(a3b8) Answer: -15a16b14

  9. a7 a4 b5 b1 • Divide a7b5 a4b Group like bases When dividing, subtract the exponents (a7 - 4)(b5 - 1) Answer: a3b4

  10. -30 -5 Divide -30x3y4 -5xy3 Divide the coefficients. Group like bases (x3 - 1)(y4 - 3) Answer: 6x2y

  11. 2 -3 2mn2 - 3 Answer: 2 - 3 = mn2 Divide 2m5n4 -3m4n2 Divide the coefficients. Group like bases (m5 - 4)(n4 - 2)

  12. 2. - 3x10y7 6x9y2 - 3 6 - xy5 2 Answer: -1 2 = xy5 Try This! 1. m8n5 m4n2 (m8 - 4)(n5 - 2) (x10 - 9)(y7 - 2) Answer: m4n3

  13. Power of a Product (ab)2 (ab)3 (ab)(ab)(ab) (ab)(ab) (aaa)(bbb) (aa)(bb) a3b3 a2b2 Rule 4: (xy)n = xnyn Multipy the exponent outside the () times each exponent inside the ().

  14. Power of a Product (a9b5)3 (4m11n20)2 (41m11n20)2 (a9•3)(b5•3) (41•2)(m11•2)(n20•2) Answer: a27b15 Answer: 16m22n40 Rule 4: (xy)n = xnyn

  15. x y x y x y x y x4 y4 = • • • n xn yn x y = Rule 5: 4 x y

  16. Try This! 1. (2a4)3 2. (4xy5z2)4 (41x1y5z2)4 (21a4)3 (21•3)(a4•3) (41•4)(x1•4)(y5•4)(z2•4) Answer:8a12 Answer:256x4y20z8 Rule 4: (xy)n = xnyn

  17. Homework p. 466 - 467 #5, 6 - 36 even, 39, 40

More Related