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## Exponent Rules For Fractions - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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### 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.
 927
=
 32 33
2.
 81243
=
 34 35

### 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.
 1253125
2.
 28

### 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.
 404375
2.
 6486561

### 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
 927
=
 32 33
Solution

 927
=
 32 33
= 32 - 3 = 3-1 = 1/3
2
 81243
=
 34 35
Solution

 81243
=
 34 35
= 34 - 5 = 3-1 = 1/3

### 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
 1253125
Solution

 1253125
=
 53 55
= 53 - 5 = 5-2 = 1/25
2
 28
Solution

 28
=
 21 23
= 21 - 3 = 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.

1
 404375
Solution

 404375
=
 8 × 517 × 54
=
 87
× 51 - 4 =
 87
× 5-3 =
 87
×
 1125
= 8/875
2
 6486561
Solution

 6486561
=
 8 × 349 × 36
=
 89
× 34 - 6 =
 89
× 3-2 =
 89
×
 19
= 8/81