NAME ______________________________________________ DATE
4-7
Negative Exponents
____________ PERIOD _____
(Pages 181–185)
What does a negative exponent mean? Look at some examples:
1
1
22 2 or 2
1
1
34 4 or 4
3
Negative Exponents
81
1
a
For any nonzero number a and integer n, an n .
Examples
1
b. Write 2 as an expression using
a. Write 23 using a positive
exponent.
3
negative exponents.
1
23 1
32 32
23
Try These Together
1
2. Write 2 as an expression using
1. Write 74 using a positive exponent.
5
1
7
HINT: This is ? .
negative exponents.
HINT: The exponent will be 2.
Practice
Write each expression using positive exponents.
3. x5y8
4. n7
5. pq2
6. s3t2
7. a4b3c
2x8
8. 9
(3)4
9. 10
y
1
11. 7
10. (1)3m2n1
p
t
Write each fraction as an expression using negative exponents.
1
13. 6
1
12. 5
2
4
15. 10
1
14. y
27
a4
17. 3
16
16. 3 2
m
s t
b
Evaluate each expression for n 2.
18. n4
20. n2
19. 3n
21. Physics The average density of the Earth is about 5.52 grams per
cubic centimeter, or 5.52 g cm3. Write this measurement as a fraction
using positive exponents.
22. Standardized Test Practice Express a3b4c2d1 using positive exponents.
a c
16
b d
1
7
1
x y
2. 52 3. 5 8
1
n
4. 7
p
q
5. 2
s3
t
6. 2
c
a b
7. 4 3
30
Answers: 1. 4
9
19. 1
4
20. 1
5.52 g
cm
21. 3
8. 2x 8 y 9 9. (3)4p10
22. D
m2
(1) n
10. 3
11. t 7 12. 25
Glencoe/McGraw-Hill
a3c 2
D 4
b3
13. y6 14. 33 15. 4m10 16. 16s3 t2 17. 18. 1
4
c d
©
4
b d
C 3 2
B a3b4c2d
a
a3b4
A 2
Glencoe Pre-Algebra