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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

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