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QMMaths

Zero, fractional and negative indices

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Answers

    Evaluate each of the following, without a calculator.

  1. 2^{0}
  2. 11^{0}
  3. \left( \frac{1}{4} \right)^{0}
  4. \left( -4 \right)^{0}

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

  5. 10^{-2}
  6. 7^{-2}
  7. 3^{-3}
  8. 2^{-4}

    9. Evaluate the following, without a calculator.

  9. 36^{\frac{1}{2}}
  10. 169^{\frac{1}{2}}
  11. 1000000^{\frac{1}{2}}
  12. 8^{\frac{1}{3}}

    13. 64^\frac 2 3 can be thought of as (64^{\frac 1 3})^2.
  13. Use this to find out 64^\frac 2 3.