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

Sample Problems For 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
)
2
 
2.  
( 1
3
)
2
 

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
4
)
3
 
2.  
( 1
2
)
2
 

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.  
( 8
5
)
3
 
2.  
( 8
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.  
( 4
10
)
3
 
2.  
( 1
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
)
2
 
Solution

( 1
2
)
2
 
=
( 12
22
)
 


( 12
22
)
 
=
1
4
#ProblemCorrect AnswerYour Answer
2
( 1
3
)
2
 
Solution

( 1
3
)
2
 
=
( 12
32
)
 


( 12
32
)
 
=
1
9

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
4
)
3
 
Solution
Begin by simplifying the fraction:

( 2
4
)
3
 
=
( 1
2
)
3
 


( 1
2
)
3
 
=
( 13
23
)
 


( 13
23
)
 
=
1
8
#ProblemCorrect AnswerYour Answer
2
( 1
2
)
2
 
Solution

( 1
2
)
2
 
=
( 12
22
)
 


( 12
22
)
 
=
1
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.
#ProblemCorrect AnswerYour Answer
1
( 8
5
)
3
 
Solution

( 8
5
)
3
 
=
( 83
53
)
 


( 83
53
)
 
=
512
125
#ProblemCorrect AnswerYour Answer
2
( 8
9
)
3
 
Solution

( 8
9
)
3
 
=
( 83
93
)
 


( 83
93
)
 
=
512
729

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
( 4
10
)
3
 
Solution
Begin by simplifying the fraction:

( 4
10
)
3
 
=
( 2
5
)
3
 


( 2
5
)
3
 
=
( 23
53
)
 


( 23
53
)
 
=
8
125
#ProblemCorrect AnswerYour Answer
2
( 1
5
)
2
 
Solution

( 1
5
)
2
 
=
( 12
52
)
 


( 12
52
)
 
=
1
25

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