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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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