Fractional and Negative Indices
Explore fractional and negative indices with this Grade 6 math worksheet, featuring exercises on simplifying expressions and understanding their meaning.
Includes
Standards
Topics
Fractional and Negative Indices
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is the value of 8^(1/3)?
2
4
8
1/8
2. Simplify 5^(-2).
1/25
25
-10
-25
3. The expression 9^(1/2) is equivalent to the of 9.
4. A negative index indicates the of the base.
5. Explain in your own words what 16^(1/4) means.
6. Describe how to simplify an expression with a negative index, for example, 3^(-3).
7. True or False: 27^(1/3) = 3.
True
False
8. True or False: 10^(-1) = -10.
True
False
9. Plot the value of 4^(1/2) on the number line below.
10. Plot the value of 2^(-1) on the number line below.
Related Worksheets
Dividing Powers Worksheet
Practice dividing powers with the same base and different bases for grade 6 math students.
Multiplying Powers Worksheet
Practice worksheet for 6th graders on multiplying powers with the same base, including various question types to reinforce understanding.
Powers of Ten Review
A worksheet for 6th graders to practice understanding and calculating powers of ten.
Number Sequences Worksheet
Explore and identify patterns in number sequences, including arithmetic and geometric progressions, for Grade 6 math.
Subtracting Negative Integers
Practice subtracting negative integers with this worksheet, featuring number line visualizations and word problems.
Grade 6 Place Value Relationships
Explore place value relationships in multi-digit numbers, including decimals, for 6th-grade math students.
Consecutive Integers Worksheet
Explore consecutive integers, their properties, and solve problems involving sequences of numbers for Grade 6 math.
Grade 6 Number Forms Worksheet
Explore different ways to represent numbers, including standard, word, expanded, and scientific notation, for Grade 6 math students.