Fractional and Negative Indices
Practice worksheet for Grade 8 students on understanding and applying fractional and negative indices in mathematical expressions.
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 where applicable. Remember the rules for fractional and negative indices.
1. A negative index indicates the of the base.
2. An expression like x^(1/n) is equivalent to the root of x.
3. To evaluate 8^(2/3), you first find the cube root of 8 and then the result.
4. Any non-zero number raised to the power of zero is equal to .
5. Which of the following is equivalent to 4^(-2)?
-16
1/16
16
-1/16
6. What is the value of 27^(1/3)?
3
9
27
1/3
7. Evaluate the expression: 100^(1/2).
8. Simplify the expression: (x^3)^(-2).
9. The expression 5^(-1) is equal to -5.
True
False
10. The value of 64^(2/3) is 16.
True
False
11. Without using a calculator, calculate the value of 16^(-1/4).
Related Worksheets
Binary Number System Worksheet
Explore the binary number system, learn to convert between binary and decimal, and perform basic binary arithmetic.
Properties of Rational Numbers Review
A Grade 8 worksheet covering the properties of rational numbers, including identification, comparison, and operations.
Binary Numbers Worksheet
Explore the world of binary numbers with this worksheet, covering conversion between binary and decimal, and basic binary operations.
Binary Coding Basics
A worksheet to introduce 8th-grade students to the fundamentals of binary coding, including converting between binary and decimal numbers.
Grade 8 Mental Math Workout
A worksheet to practice and improve mental calculation skills for Grade 8 students, focusing on estimation, percentages, and basic operations without a calculator.
Consecutive Integers Worksheet
Explore consecutive integers, their properties, and how to solve problems involving them at a Grade 8 level.