Exponent Rules For Fractions Sample Problems

Math Practice Online > free > lessons > New York > 7th grade > Exponent Rules For Fractions

If your child needs math practice, click here.

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

MathScore.com