Fractional and Negative Indices
Explore fractional and negative indices with this Grade 6 math worksheet, featuring exercises on simplifying expressions and understanding their meaning.
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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 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.