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QMMaths

Zero, fractional and negative indices

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Answers

    Evaluate each of the following, without a calculator.

  1. 6^{0}
  2. 15^{0}
  3. \left( \frac{1}{3} \right)^{0}
  4. \left( -4 \right)^{0}

    5. Evaluate the following, without a calculator. Give your answers as exact fractions.

  5. 9^{-2}
  6. 5^{-2}
  7. 3^{-3}
  8. 3^{-4}

    9. Evaluate the following, without a calculator.

  9. 16^{\frac{1}{2}}
  10. 144^{\frac{1}{2}}
  11. 10000^{\frac{1}{2}}
  12. 8^{\frac{1}{3}}

    13. 8^\frac 2 3 can be thought of as (8^{\frac 1 3})^2.
  13. Use this to find out 8^\frac 2 3.