Fractional and Negative Indices
Practice worksheet for Grade 8 students on understanding and applying fractional and negative indices in mathematical expressions.
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Fractional and Negative Indices
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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).
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