Download Section 7.2 from Blitzer 7.2

Name __________________________________
Date _________________________
Additional Exercises 7.2
Form I
Rational Exponents
Use radical notation to rewrite each expression. Simplify if possible.
1
1. _______________
1.
64 2
2.
27 3
3.
(5 xy) 2
4.
32 5
1
2. _______________
1
3. _______________
2
4. _______________
Rewrite each expression with a rational exponent.
5.
10
5. _______________
6.
5
4x
6. _______________
7.
3
82
7. _______________
8.
 16 
5
4
8. _______________
Rewrite the expression with a positive rational exponent. Simplify, if possible.
9.
10.
49
16


1
2
9. _______________
3
4
10. _______________
Copyright © 2013 Pearson Education, Inc.
AE-256
Name __________________________________
11.
12.
(27)
100


Date _________________________
2
3
11. _______________
3
2
12. _______________
Use the properties of rational exponents to simplify each expression. Assume that all variables
represent positive numbers.
1
13.
7
13. _______________
x8 x8
4
14.
a5
a
14. _______________
1
5
8
4
15.
(100 x y )
16.
 43 32 
x y 




1
2
15. _______________
12
16. _______________
Use rational exponents to simplify each expression. If rational exponents appear after
simplifying, write the answer in radical notation. Assume that all variables represent positive
numbers.
17.
10
x5
17. _______________
18.
20
(3 y ) 4
18. _______________
19.
3
x 9 x
19. _______________
20.
10
3
20. _______________
10
Copyright © 2013 Pearson Education, Inc.
AE-257
Name __________________________________
Date _________________________
Additional Exercises 7.2
Form II
Rational Exponents
Use radical notation to rewrite each expression. Simplify if possible.
1.
196
1
2
1. _______________
1
3
2.
(125)
3.
(4 xy 4 ) 5
4.
(81) 4
2. _______________
1
3. _______________
3
4. _______________
Rewrite each expression with a rational exponent.
5.
21
5. _______________
6.
9
9x
6. _______________
7.
7
x6 y
7. _______________
8.

3
 27 y

4
8. _______________
Rewrite the expression with a positive rational exponent. Simplify, if possible.
9.
10.
-
81
3
2
9. _______________
-
(-27)
1
3
10. _______________
Copyright © 2013 Pearson Education, Inc.
AE-258
Name __________________________________
-
11.
(4 xy 2 )
12.
4x
-
Date _________________________
3
4
11. _______________
1
3
12. _______________
Use the properties of rational exponents to simplify each expression. Assume that all variables
represent positive numbers.
2
13.
14.
4
13. _______________
a3a3
5
6
y
14. _______________
2
6
y
15.
(27 x y )
16.
 89 65  3
x y 




9
12
1
3
15. _______________
1
16. _______________
Use rational exponents to simplify each expression. If rational exponents appear after
simplifying, write the answer in radical notation.
17.
12
(4 x) 3
17. _______________
18.
4
y  5 y2
18. _______________
3
12
6
12
19.
20.
(
3
xy 2
19. _______________
)
4
20. _______________
Copyright © 2013 Pearson Education, Inc.
AE-259
Name __________________________________
Date _________________________
Additional Exercises 7.2
Form III
Rational Exponents
Use radical notation to rewrite each expression. Simplify if possible.
1
1. _______________
1.
1000 3
2.
(216) 3
3.
2
2
4.
2. _______________
3
3 5
(9 x y )
3
2
16  4
3. _______________
1
2
4. _______________
Rewrite each expression with a rational exponent.
5.
3
30
5. _______________
6.
8
10 x 5
6. _______________
7.
 14 xy 
8.
 16 y 
5
3
2
4
7. _______________
8. _______________
Rewrite the expression with a positive rational exponent. Simplify, if possible.
9.
10.
8x
-
1
2
9. _______________
-
(-125)
2
3
10. _______________
Copyright © 2013 Pearson Education, Inc.
AE-260
Name __________________________________
Date _________________________
1
11.
12.
(3xy 2 ) 2
25
1
2
11. _______________
 125

1
3
12. _______________
Use the properties of rational exponents to simplify each expression. Assume that all variables
represent positive numbers.
13.
3
4
y y
1
8
13. _______________
3
14.
a4
a
14. _______________
1
3
15.
(125 x y )
16.
16 x
6
4
12
2
3
15. _______________
y8 z 4  4
1
16. _______________
Use rational exponents to simplify each expression. If rational exponents appear after
simplifying, write the answer in radical notation.
17.
5
x3  3 x2
17. _______________
18.
18
(6 x ) 6
18. _______________
19.
8 5
xy
19. _______________
20.
6
20
10
20
20. _______________
Copyright © 2013 Pearson Education, Inc.
AE-261