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Which subjectMathematics
What age groupYear or Grade 9
What topicnegative indices
Question typesOpen-ended
Number of questions5
Number of answers4
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Mathematics Quiz: Negative Indices

Instructions

Answer the following questions related to negative indices. Be sure to show your workings where necessary.


Questions

  1. What is the value of ( 5^{-2} )?
    (Express your answer as a fraction.)

  2. Simplify the expression: ( \frac{4^3}{2^{-2}} ).
    (Show all steps in your calculation.)

  3. If ( x = 3^{-1} ), what is the value of ( x^2 )?
    (Provide your answer in both fraction and decimal form.)

  4. Evaluate ( (2^{-3}) \times (2^5) ).
    (Simplify your answer to its simplest form.)

  5. Express ( \frac{10^{-3}}{5^{-2}} ) as a positive index.
    (State your answer clearly.)