Exponent Rules For Fractions Sample Problems

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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.

2⁴

2⁶

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.

128

Complexity=5, Mode=extraFactor

Simplify the following to a reduced fraction. Answer in the form '5/9'. Use improper fractions instead of mixed fractions.

192

Complexity=5, Mode=multiplyOrDivide

Simplify the following to a reduced fraction. Answer in the form '5/9'. Use improper fractions instead of mixed fractions.

128

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.

Problem

Correct Answer

Your Answer

2⁴

2⁶

Solution

2⁴

2⁶

= 2^{4 -
6} = 2^-2 = 1/4

Problem

Correct Answer

Your Answer

2¹

2³

Solution

2¹

2³

= 2^{1 -
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.

Problem

Correct Answer

Your Answer

128

Solution

128

2⁴

2⁷

= 2^{4 -
7} = 2^-3 = 1/8

Problem

Correct Answer

Your Answer

Solution

2³

2⁵

= 2^{3 -
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.

Problem

Correct Answer

Your Answer

192

Solution

192

1 × 4³

3 × 4³

× 4^{3 -
3} =

× 4^-1 =

= 1/3

Problem

Correct Answer

Your Answer

Solution

3 × 4¹

5 × 4²

× 4^{1 -
2} =

× 4^-1 =

= 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.

Problem

Correct Answer

Your Answer

Solution

3 × 2²

7 × 2¹

6 × 2¹

3 × 2³

× 2^{2 - 1} ×

× 2^{1 - 3} =

× 2¹ ×

× 2^-2 =

3 × 6

7 × 3

× 2^{1 + -2} =

× 2^-1 =

= 12/7

Problem

Correct Answer

Your Answer

128

Solution

128

5 × 4²

1 × 4³

6 × 4¹

2 × 4³

× 4^{2 - 3} ×

× 4^{1 - 3} =

× 4^-1 ×

× 4^-2 =

5 × 6

1 × 2

× 4^{-1 + -2} =

× 4^-3 =

= 20/3

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