Download presentation

Presentation is loading. Please wait.

Published byGael Balle Modified over 2 years ago

1
Monomials Multiplying Monomials and Raising Monomials to Powers

2
Vocabulary Monomials - a number, a variable, or a product of a number and one or more variables 4x, 20x 2 yw 3, -3, a 2 b 3, and 3yz are all monomials. Constant – a monomial that is a number without a variable. Base – In an expression of the form x n, the base is x. Exponent – In an expression of the form x n, the exponent is n.

3
Writing - Using Exponents Rewrite the following expressions using exponents: The variables, x and y, represent the bases. The number of times each base is multiplied by itself will be the value of the exponent.

4
Writing Expressions without Exponents Write out each expression without exponents (as multiplication): or

5
Simplify the following expression: (5a 2 )(a 5 ) Step 1: Write out the expressions in expanded form. Step 2: Rewrite using exponents. Product of Powers There are two monomials. Underline them. What operation is between the two monomials? Multiplication!

6
For any number a, and all integers m and n, a m a n = a m+n. Product of Powers Rule

7
If the monomials have coefficients, multiply those, but still add the powers. Multiplying Monomials

8
These monomials have a mixture of different variables. Only add powers of like variables. Multiplying Monomials

9
Simplify the following: ( x 3 ) 4 Note: 3 x 4 = 12. Power of Powers The monomial is the term inside the parentheses. Step 1: Write out the expression in expanded form. Step 2: Simplify, writing as a power.

10
Power of Powers Rule For any number, a, and all integers m and n,

11
Monomials to Powers If the monomial inside the parentheses has a coefficient, raise the coefficient to the power, but still multiply the variable powers.

12
Monomials to Powers (Power of a Product) If the monomial inside the parentheses has more than one variable, raise each variable to the outside power using the power of a power rule. (ab) m = a m b m

13
Monomials to Powers (Power of a Product) Simplify each expression:

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on linear equations in two variables and functions Download ppt on three states of matter Convert doc file to ppt online form Ppt on right to information act 2005 Formal backgrounds for ppt on social media Ppt on types of forest in india Best ppt on ozone layer Ppt on conservation of electrical energy Ppt on data handling for class 6 Ppt on importance of english communication skills