Math Practice Online > free > lessons > Florida > 9th grade > Exponent Rules For Fractions

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.
 1664
=
 24 26
2.
 28
=
 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.
 16128
2.
 832

### 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.
 64192
2.
 1280

### 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.
 1214
÷
 2412
2.
 8064
÷
 12824

### 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
 1664
=
 24 26
Solution

 1664
=
 24 26
= 24 - 6 = 2-2 = 1/4
2
 28
=
 21 23
Solution

 28
=
 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.
1
 16128
Solution

 16128
=
 24 27
= 24 - 7 = 2-3 = 1/8
2
 832
Solution

 832
=
 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.
1
 64192
Solution

 64192
=
 1 × 433 × 43
=
 13
× 43 - 3 =
 13
× 4-1 =
 13
×
 14
= 1/3
2
 1280
Solution

 1280
=
 3 × 415 × 42
=
 35
× 41 - 2 =
 35
× 4-1 =
 35
×
 14
= 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.
1
 1214
÷
 2412
Solution

 1214
÷
 2412
=
 1214
×
 1224
=
 3 × 227 × 21
×
 6 × 213 × 23
=
 37
× 2 2 - 1 ×
 63
× 2 1 - 3 =
 37
× 2 1 ×
 63
× 2 -2 =

 3 × 67 × 3
× 2 1 + -2 =
 1821
× 2-1 =
 67
×
 12
= 12/7
2
 8064
÷
 12824
Solution

 8064
÷
 12824
=
 8064
×
 24128
=
 5 × 421 × 43
×
 6 × 412 × 43
=
 51
× 4 2 - 3 ×
 62
× 4 1 - 3 =
 51
× 4 -1 ×
 62
× 4 -2 =

 5 × 61 × 2
× 4 -1 + -2 =
 302
× 4-3 =
 151
×
 164
= 20/3

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