Negative and Fractional Indices Worksheet
Explore negative and fractional indices with this Grade 6 math worksheet. Includes exercises on simplifying expressions and understanding their meaning.
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Negative and Fractional Indices
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Read each question carefully and provide the best answer. Show your work where applicable.
1. Any non-zero number raised to a negative exponent is equal to the of its positive exponent. For example, x⁻² = 1/x².
2. Simplify: 5⁻¹ =
3. Simplify: 10⁻³ =
4. Write 1/7² using a negative exponent:
1. Simplify the expression: 4⁻²
2. Simplify the expression: (2/3)⁻¹
1. A fractional exponent like x^(1/n) means the root of x. For example, 9^(1/2) = √9 = 3.
2. Simplify: 16^(1/2) =
3. Simplify: 27^(1/3) =
4. Write √81 using a fractional exponent:
1. Simplify the expression: 64^(1/3)
2. Simplify the expression: 32^(1/5)
1. The expression 6⁻² is equal to -36.
True
False
2. The expression 49^(1/2) is equal to 7.
True
False
1. Which of the following is equivalent to 1/8?
2³
2⁻³
8^(1/2)
8⁻¹
2. What is the value of 100^(1/2)?
5
10
50
200
Explain in your own words the relationship between negative exponents and fractions. Provide an example.
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