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

© 2016 SlidePlayer.com Inc.

All rights reserved.

Ads by Google