1 / 34

Objectives The student will be able to:

Learn how to multiply and simplify monomials using exponent rules. Practice problems included.

parisp
Download Presentation

Objectives The student will be able to:

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. ObjectivesThe student will be able to: 1. multiply monomials. 2. simplify expressions with monomials. SOL: A.2a Designed by Skip Tyler, Varina High School

  2. A monomial is a 1. number, 2. variable, or 3. a product of one or more numbers and variables. Examples: 5 y 3x2y3

  3. Why are the following not monomials?x + y addition division 2 - 3a subtraction

  4. Multiplying Monomials When multiplying monomials, you ADD the exponents. 1) x2 • x4 x2+4 x6 2) 2a2y3 • 3a3y4 6a5y7

  5. Simplify m3(m4)(m) • m7 • m8 • m12 • m13

  6. Power of a Power When you have an exponent with an exponent, you multiply those exponents. 1) (x2)3 x2• 3 x6 2) (y3)4 y12

  7. Power of a Product When you have a power outside of the parentheses, everything in the parentheses is raised to that power. 1) (2a)3 23a3 8a3 2) (3x)2 9x2

  8. Power of a Monomial This is a combination of all of the other rules. 1) (x3y2)4 x3• 4 y2• 4 x12 y8 2) (4x4y3)3 64x12y9

  9. Simplify (p2)4 • p2 • p4 • p8 • p16

  10. Simplify (4r)3 12r3 12r4 64r3 64r4

  11. Simplify (3a2b3)4 12a8b12 81a6b7 81a16b81 81a8b12

  12. Dividing Monomials = m6 n3 When dividing monomials, subtract the exponents. 1. 2. = b5-2 = b3 = m7-1n5-2

  13. = xy = 9a3b2

  14. Simplify 48g2h2 48gh2 4g2h2 4gh2

  15. Here’s a tricky one! What happened to the m? = 1m0n = n They canceled out! There are no m’s left over! This leads us to our next rule…

  16. Zero Exponents Anything to the 0 power is equal to 1. a0 = 1 True or False? Anything divided by itself equals one. True! See for yourself!

  17. A negative exponent means you move the base to the other side of the fraction and make the exponent positive. Negative Exponents Notice that the base with the negative exponent moved and became positive!

  18. Simplify. • x-4 y0You can not have negative or zero exponents in your answer.

  19. p2 p12 . . Simplify

  20. Simplify. You can’t leave the negative exponent! There is another way of doing this without negative exponents. If you don’t want to see it, skip the next slide!!!

  21. Simplify (alternate version). Look and see (visualize) where you have the larger exponent and leave the variable in that location. Subtract the smaller exponent from the larger one. In this problem, r is larger in the numerator and s is larger in the denominator. Notice that you did not have to work with negative exponents! This method is quicker!

  22. Simplify. Get rid of the negative exponent.

  23. Simplify. Get rid of the negative exponents.

  24. Simplify. Get rid of the parentheses. Get rid of the negative exponents.

  25. . . . . Simplify

  26. Classwork

  27. Homework:

More Related