Math Practice Online: MathScore.com

Math Practice Online > free > lessons > New York > 9th grade > Negative Exponents Of Fractional Bases

If your child needs math practice, click here.

These sample problems below for Negative Exponents Of Fractional Bases were generated by the MathScore.com engine.

Sample Problems For Negative Exponents Of Fractional Bases

Complexity=5, Mode=1

Evaluate the following. If the answer is a whole number, just input the whole number. Express fractions as 'numerator/denominator'. i.e. '5/7'. Also use improper fractions and not mixed fractions in your answer.
1.  
( 1
2 		)
-1
 
2.  
( 1
4 		)
-1
 

Complexity=7, Mode=denominator

Evaluate the following. If the answer is a whole number, just input the whole number. Express fractions as 'numerator/denominator'. i.e. '5/7'. Also use improper fractions and not mixed fractions in your answer.
1.  
( 2
6 		)
-4
 
2.  
( 1
5 		)
-4
 

Complexity=10

Evaluate the following. If the answer is a whole number, just input the whole number. Express fractions as 'numerator/denominator'. i.e. '5/7'. Also use improper fractions and not mixed fractions in your answer.
1.  
( 10
7 		)
-4
 
2.  
( 10
9 		)
-3
 

Complexity=15

Evaluate the following. If the answer is a whole number, just input the whole number. Express fractions as 'numerator/denominator'. i.e. '5/7'. Also use improper fractions and not mixed fractions in your answer.
1.  
( 13
12 		)
-3
 
2.  
( 11
5 		)
-2
 

Answers

Complexity=5, Mode=1

Evaluate the following. If the answer is a whole number, just input the whole number. Express fractions as 'numerator/denominator'. i.e. '5/7'. Also use improper fractions and not mixed fractions in your answer.
#ProblemCorrect AnswerYour Answer
1
( 1
2 		)
-1
 
Solution

( 1
2 		)
-1
 
 = 1 ÷
( 1
2 		)
1
 

1 ÷
( 1
2 		)
1
 
 =
( 2
1 		)
1
 

( 2
1 		)
1
 
 =
21
11


21
11
=
2
1
#ProblemCorrect AnswerYour Answer
2
( 1
4 		)
-1
 
Solution

( 1
4 		)
-1
 
 = 1 ÷
( 1
4 		)
1
 

1 ÷
( 1
4 		)
1
 
 =
( 4
1 		)
1
 

( 4
1 		)
1
 
 =
41
11


41
11
=
4
1

Complexity=7, Mode=denominator

Evaluate the following. If the answer is a whole number, just input the whole number. Express fractions as 'numerator/denominator'. i.e. '5/7'. Also use improper fractions and not mixed fractions in your answer.
#ProblemCorrect AnswerYour Answer
1
( 2
6 		)
-4
 
Solution

( 2
6 		)
-4
 
 = 1 ÷
( 2
6 		)
4
 

1 ÷
( 2
6 		)
4
 
 =
( 6
2 		)
4
 
Simplify the fraction:

( 6
2 		)
4
 
 =
( 3
1 		)
4
 


( 3
1 		)
4
 
 =
34
14


34
14
=
81
1
#ProblemCorrect AnswerYour Answer
2
( 1
5 		)
-4
 
Solution

( 1
5 		)
-4
 
 = 1 ÷
( 1
5 		)
4
 

1 ÷
( 1
5 		)
4
 
 =
( 5
1 		)
4
 

( 5
1 		)
4
 
 =
54
14


54
14
=
625
1

Complexity=10

Evaluate the following. If the answer is a whole number, just input the whole number. Express fractions as 'numerator/denominator'. i.e. '5/7'. Also use improper fractions and not mixed fractions in your answer.
#ProblemCorrect AnswerYour Answer
1
( 10
7 		)
-4
 
Solution

( 10
7 		)
-4
 
 = 1 ÷
( 10
7 		)
4
 

1 ÷
( 10
7 		)
4
 
 =
( 7
10 		)
4
 

( 7
10 		)
4
 
 =
74
104


74
104
=
2401
10000
#ProblemCorrect AnswerYour Answer
2
( 10
9 		)
-3
 
Solution

( 10
9 		)
-3
 
 = 1 ÷
( 10
9 		)
3
 

1 ÷
( 10
9 		)
3
 
 =
( 9
10 		)
3
 

( 9
10 		)
3
 
 =
93
103


93
103
=
729
1000

Complexity=15

Evaluate the following. If the answer is a whole number, just input the whole number. Express fractions as 'numerator/denominator'. i.e. '5/7'. Also use improper fractions and not mixed fractions in your answer.
#ProblemCorrect AnswerYour Answer
1
( 13
12 		)
-3
 
Solution

( 13
12 		)
-3
 
 = 1 ÷
( 13
12 		)
3
 

1 ÷
( 13
12 		)
3
 
 =
( 12
13 		)
3
 

( 12
13 		)
3
 
 =
123
133


123
133
=
1728
2197
#ProblemCorrect AnswerYour Answer
2
( 11
5 		)
-2
 
Solution

( 11
5 		)
-2
 
 = 1 ÷
( 11
5 		)
2
 

1 ÷
( 11
5 		)
2
 
 =
( 5
11 		)
2
 

( 5
11 		)
2
 
 =
52
112


52
112
=
25
121

MathScore.com

Copyright Accurate Learning Systems Corporation 2008.
MathScore is a registered trademark.