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These sample problems below for Exponent Rules For Fractions were generated by the MathScore.com engine.

Sample Problems For Exponent Rules For Fractions


Complexity=5, Mode=factorGiven

Simplify the following to a reduced fraction. Answer in the form '5/9'. Use improper fractions instead of mixed fractions.
1.  
16
64
=
24
26
2.  
2
8
=
21
23

Complexity=5, Mode=factorNotGiven

Simplify the following to a reduced fraction. Answer in the form '5/9'. Use improper fractions instead of mixed fractions.
1.  
16
128
2.  
8
32

Complexity=5, Mode=extraFactor

Simplify the following to a reduced fraction. Answer in the form '5/9'. Use improper fractions instead of mixed fractions.
1.  
64
192
2.  
12
80

Complexity=5, Mode=multiplyOrDivide

Simplify the following to a reduced fraction. Answer in the form '5/9'. Use improper fractions instead of mixed fractions.
1.  
12
14
÷
24
12
2.  
80
64
÷
128
24

Answers


Complexity=5, Mode=factorGiven

Simplify the following to a reduced fraction. Answer in the form '5/9'. Use improper fractions instead of mixed fractions.
#ProblemCorrect AnswerYour Answer
1
16
64
=
24
26
Solution

16
64
=
24
26
= 24 - 6 = 2-2 = 1/4
#ProblemCorrect AnswerYour Answer
2
2
8
=
21
23
Solution

2
8
=
21
23
= 21 - 3 = 2-2 = 1/4

Complexity=5, Mode=factorNotGiven

Simplify the following to a reduced fraction. Answer in the form '5/9'. Use improper fractions instead of mixed fractions.
#ProblemCorrect AnswerYour Answer
1
16
128
Solution

16
128
=
24
27
= 24 - 7 = 2-3 = 1/8
#ProblemCorrect AnswerYour Answer
2
8
32
Solution

8
32
=
23
25
= 23 - 5 = 2-2 = 1/4

Complexity=5, Mode=extraFactor

Simplify the following to a reduced fraction. Answer in the form '5/9'. Use improper fractions instead of mixed fractions.
#ProblemCorrect AnswerYour Answer
1
64
192
Solution

64
192
=
1 × 43
3 × 43
=
1
3
× 43 - 3 =
1
3
× 4-1 =
1
3
×
1
4
= 1/3
#ProblemCorrect AnswerYour Answer
2
12
80
Solution

12
80
=
3 × 41
5 × 42
=
3
5
× 41 - 2 =
3
5
× 4-1 =
3
5
×
1
4
= 3/20

Complexity=5, Mode=multiplyOrDivide

Simplify the following to a reduced fraction. Answer in the form '5/9'. Use improper fractions instead of mixed fractions.
#ProblemCorrect AnswerYour Answer
1
12
14
÷
24
12
Solution

12
14
÷
24
12
=
12
14
×
12
24
=
3 × 22
7 × 21
×
6 × 21
3 × 23
=
3
7
× 2 2 - 1 ×
6
3
× 2 1 - 3 =
3
7
× 2 1 ×
6
3
× 2 -2 =

3 × 6
7 × 3
× 2 1 + -2 =
18
21
× 2-1 =
6
7
×
1
2
= 12/7
#ProblemCorrect AnswerYour Answer
2
80
64
÷
128
24
Solution

80
64
÷
128
24
=
80
64
×
24
128
=
5 × 42
1 × 43
×
6 × 41
2 × 43
=
5
1
× 4 2 - 3 ×
6
2
× 4 1 - 3 =
5
1
× 4 -1 ×
6
2
× 4 -2 =

5 × 6
1 × 2
× 4 -1 + -2 =
30
2
× 4-3 =
15
1
×
1
64
= 20/3

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