Page 72 - Math Course 2 (Book 1)

Monomial Expressions

Mo. 3

Lesson 1 Key Concept

KEY CONCEPTS: Product of Powers
1. Multiply monomials.
2. Simplify expressions involving powers Words To multiply two powers that have the
of monomials. same base, add the exponents.
Symbols For any number a and all integers m
m
n
and n, a • a = a m+n .
4
4 + 12
12
MO. 3 - L1a Example a • a = a or a 16
Multiplying Monomials Power of a Power

Words To f nd the power of power, multiply the
exponents.
Vocabulary A-Z Symbols For any number a and all integers m

Let us learn some vocabulary and n, (a ) = a m • n .
m n
5 9
Example (k ) = k 5 • 9 or k 45

Monomial
Let’s Begin
A monomial is a number, a variable, or a product of a
number and one or more variables.

Monomials Identify Monomials
–5, 3, 21x, –2x y , la b
2 3
2 5
Example

Constant
Determine whether each expression is a monomial.
Monomials that are real numbers are called Explain your reasoning.
constants.
Expression Monomial? Reason
Monomials The expression
–5, 3, 21x, –2x y , la b a. 17 – s no involves subtraction,
2 3
2 5
not the product, of
two variables
–5 and 3 are real numbers and examples of a
constant. The expression is
b. 8f g yes the product of a
2
number and two
variables
3
is real number
4
c. 3 yes and an example of
4 a constant
The expression
d. 5 no involves division
t by a variable.

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