1. 6-1 Integer Exponents Warm Up Lesson Presentation Lesson Quiz
Holt McDougal Algebra 1
Holt Algebra 1

2. Warm Up
Evaluate each expression for the given values of the variables.
1. x3y2 for x = 1 and y = -10
Write each number as a power of the given base.
2. 3; base 4

3. Essential Objectives
Evaluate expressions containing zero and integer exponents.
Simplify expressions containing zero and integer exponents.

4. You have seen positive exponents
You have seen positive exponents. Recall that to simplify 32, use 3 as a factor 2 times: 32 = 3  3 = 9.
But what does it mean for an exponent to be negative or 0? You can use a table and look for a pattern to figure it out.
Power
Value 55 54 53 52 51 50
5–1
5–2
3125
625
125 25 5
 5
 5
 5
 5

5. When the exponent decreases by one, the value of the power is divided by 5. Continue the pattern of dividing by 5.
What’s more??? 1. 2. 3. 4.

6. Base x
Exponent
Remember! 4

8. 2–4 is read “2 to the negative fourth power.”
Reading Math

9. Example: Application
One cup is 2–4 gallons. Simplify this expression. =

10. Example: Application
A sand fly may have a wingspan up to 5–3 m. Simplify this expression.
5-3 m =

11. Example: Application
Simplify.
A. 4–3
B. 70
7º = 1
C. (–5)–4
D. –5–4

12. In (–3)–4, the base is negative because the negative sign is inside the parentheses. In –3–4 the base (3) is positive.
Caution

13. Example: Application
Simplify.
a. 10–4
b. (–2)–4
c. (–2)–5
d. –2–5

14. Example : Evaluating Expressions
Evaluate the expression for the given value of the variables.
x–2 for x = 4

15. Example: Application
Evaluate
p–3 for p = 4 .

16. What if you have an expression with a negative exponent in a denominator, such as ?
We know that: or
So evaluating:

17. Example
Simplify. B.
A. 7w–4

18. Example
Simplify.
Note:
a. 2r0m–3
rº = 1 and b. c.

19. Lesson Quiz: Part I
1. A square foot is 3–2 square yards. Simplify this expression.
Simplify.
2. 2–6
3. (–7)–3
4. 60 1
5. –112

20. Lesson Quiz: Part II
Evaluate each expression for the given value(s) of the variables(s). 6.
x–4 for x =10 7.
for a = 6 and b = 3