1. A#14 / 1-2/1-3 Homework Worksheet
Homework Corrections
A#14 / 1-2/1-3 Homework Worksheet
1. a) 4
b) -30
2. a)
b) 53
3. a) 5
b) 300
4. a) undefined
b) 0

2. Warm Up
Simplify.
1. 2(2)
2. (-2)(-2)
3. (-2)(-2)(-2)
4. 3(3)(3) 5.

3. Add It Fast! Divide a deck of cards evenly between you and
your partner.
You and your partner each turn over one card at
the same time and add the numbers together.
The fastest person to say the correct sum takes the two cards.
Once all of the cards have been added and taken, the person with the most cards wins!
Number cards
Number on the card
Face cards =
= 10
Aces
= 1
= 9
= 10
= 1

4. Lesson Objectives: I will be able to …
Page 14
Lesson Objectives: I will be able to …
Evaluate expressions containing exponents
Review concepts from Chapter 1
Language Objective: I will be able to …
Read, write, and listen about vocabulary, key
concepts, and examples

5. Page 14

6. Page 14
A power is an expression written with an exponent and a base or the value of such an expression.
3² is an example of a power.
The base is the
number that is
used as a factor. 3 2
The exponent, 2 tells
how many times the
base, 3, is used as a
factor.

7. When a number is raised to the second power, we usually say it is “squared.” The area of a square is s  s = s2, is the side length. S
When a number is raised to the third power, we usually say its “cubed.” The of volume of a cube is s  s  s = s3 is the side length. S

8. Example 1: Writing Powers for Geometric Models
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Write the power represented by the geometric model. A.
The figure is 5 units long, 5 units wide, and 5 units tall. 5  5  5 5 53
The factor 5 is used 3 times. 6 B.
The figure is 6 units long and 6 units wide. 6 x 6 62
The factor 6 is used 2 times.

9. Write the power represented by each geometric model.
Your Turn 1
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Write the power represented by each geometric model. A.
The figure is 2 units long and 2 units wide. 2  2 22
The factor 2 is used 2 times. B. x
The figure is x units long, x units wide, and x units tall. x  x  x
The factor x is used 3 times. x3

10. Caution!
In the expression –52, 5 is the base because the negative sign is not in parentheses. In the expression (–2)2, –2 is the base because of the parentheses.
-52 = -1 ● 5 ● 5 = (-2)2 = (-2)(-2) = 4

11. Example 2: Evaluating Powers
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Example 2: Evaluating Powers
Evaluate each expression.
A. (–6)3
(–6)(–6)(–6)
Use –6 as a factor 3 times.
–216
B. –102
Think of a negative sign in front of a power as multiplying by a –1.
–1 • 10 • 10
–100
Find the product of –1 and two 10’s. C. 2 9 
Use as a factor 2 times. 2 9 = 4 81

12. Your Turn 2 Evaluate each expression. A. (–5)3 (–5)(–5)(–5) –125
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Evaluate each expression.
A. (–5)3
(–5)(–5)(–5)
Use –5 as a factor 3 times.
–125
B. –62
Think of a negative sign in front of a power as multiplying by –1.
–1  6  6
–36
Find the product of –1 and two 6’s. C.
Use as a factor 3 times. 3 4 27 64

13. Example 3: Writing Powers
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Example 3: Writing Powers
Write each number as a power of the given base.
A. 64; base 8
8  8
The product of two 8’s is 64. 82
B. 81; base –3
(–3)(–3)(–3)(–3)
The product of four –3’s is 81.
(–3)4

14. Write each number as a power of a given base.
Your Turn 3
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Write each number as a power of a given base.
A. 64; base 4
4  4  4
The product of three 4’s is 64. 43
B. –27; base –3
(–3)(–3)(–3)
The product of three (–3)’s is –27.
(–3)3

15. Cornell Notes Fill in the Essential Question:
“How do I evaluate expressions containing
exponents?”
Write two or three main ideas from this lesson
in the Notes section.
Write a Question for each main idea.
(The answer to the question should be the
main idea.)
Summarize the answers to your questions in
the Summary section.
Page 17

16. Classwork
Assignment #15
Partner Math

17. Homework Assignment #15 1-4 Homework Worksheet
Chapter 1 Quiz Tomorrow!