haile
Uploaded by
12 SLIDES
233 VUES
120LIKES

Understanding Monomials and Power Operations in Mathematics

DESCRIPTION

Learn about monomials, constants, and power operations in mathematics. Explore how to multiply monomials and simplify expressions. Practice problems included for better understanding.

1 / 12

Télécharger la présentation

Understanding Monomials and Power Operations in Mathematics

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

Playing audio...

  1. Chapter 8 sec. 1 What is a monomial and how do I multiply them?

  2. A monomial is a number, a variable or a product (multiplication) of a number and one or more variables. • An expression involving the division of variables is NOT a monomial. • Monomials that are real numbers are called CONSTANTS

  3. Identify Monomials • Expression Monomial Reason -5 ? Discuss/ fill in p + q ? x ? c/d ? abc2 / 5 ?

  4. Product of Powers Review: 25 = (2)(2)(2)(2)(2) or 32 NOT (2)(5) = 10 small mistake = big difference in your work 25 Exponent base together = a power

  5. Product of Powers Rule • When you multiply two powers that have the same base…….ADD THE EXPONENTS. Example: (5x7) (x6) STEPS 1. multiply the numbers 5x13 2. keep the variable 3. add the exponents

  6. Example (4ab6)(-7a2b3) Steps: 1. multiply the numbers -28a3b92. keep the variables 3. add the exponents

  7. Powers of Monomials • To find the power OF a power “mulitply the exponents.” It’s the same as ice cream and party only with exponents. Distribute the exponent to everything inside the parethesis. Example: (42)5 multiply the exponents 410

  8. What do you do with a power raised to another power? ________________. [(32)3]2 = 312 or 531,441 (z8)3 = z24 Remember you are basically distributing the exponent to everything in the parenthesis.

  9. Example: (4ab)2 = 42=a2b2 = 16a2b2 Example: (1/3xy4)2 [(-6y2)3] (12/32)(x2)(y8)(-63)(y6) 1/9x2y8(-216)y6

  10. Practice (power to a power) (42)5 (xy)4 (-2xy)3

  11. Practice Simplify: x (x4)(x6) (3y5z)2 (4/5 a2)2 (-2v3w4)3(-3vw3)2

  12. Is the expression a monomial (y/n) 12 1/5 abc7 4x3 x/y2 a – 2b n

More Related