Page 126 - Math Course 1 (Book 1)
P. 126
Exponents
Mo. 4
Lesson 1
Let’s Begin
KEY CONCEPTS:
1. Write expressions using exponents.
2. Evaluate expressions containing exponents Write Expressions Using
Exponents
MO. 4 - L1a Examples
Write Expressions Using
Exponents A. Write 6 • 6 • 6 • 6 using exponents.
The base is 6. It is a factor 4
Vocabulary A-Z Answer times, so the exponent is 4.
4
Let us learn some vocabulary 6 • 6 • 6 • 6 = 6
B. Write p using exponents.
Factor The base is p. It is a factor 1
Answer time, so the exponent is 1.
Two or more numbers that are multiplied to form a p = p 1
product are called factors.
C. Write (–1)(–1)(–1) using exponents.
2 x 2 x 2 x 2 = 16
The 2’s are the factors The base is –1. It is a factor
Answer 3 times, so the exponent is 3.
Base
(–1)(–1)(–1) = (–1) 3
is the number that is multiplied.
24 <-- The 2 is the base. D. Write (5x + 1)(5x + 1) using exponents.
Exponent The base is 5x + 1. It is a
Answer factor 2 times, so the
The exponent tells how many times the base is used exponent is 2.
as a factor. (5x + 1)(5x + 1) = (5x + 1) 2
24 <-- The 4 is the exponent 1
using
E. Write 2 x • x • x • x • y • y • y
Power exponents.
First, group the factors with like bases.
The number that can be expressed using an expo- Then write using exponents.
nent is also called a power. 1 1
2 x • x • x • x • y • y • y = 2 • (x • x • x • x) • (y • y • y)
4
x • x • x • x = x and y • y • y = y 3
2 x 2 x 2 x 2 = 16 This can also be
expressed as 24 where 4 is the power. 1
Answer = x4y³
2
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