Evaluate Powers with Negative and Zero Indices

Evaluate Powers with Negative and Zero Indices

Secondary 3

Evaluate each of the following, without the use of a calculator.

  1. \({{\left( 0.8 \right)}^{-1}}\)
  2. \({{5}^{-2}}\)
  3. \({{\left( 3x \right)}^{0}}\div 3{{x}^{-1}}\)
  4. \(1\div {{\left( 5x \right)}^{-2}}\)
  5. \({{3}^{0}}-{{3}^{-3}}\times 27\)
  6. \({{9}^{0}}\times {{\left( \frac{1}{9} \right)}^{-1}}\times {{81}^{-1}}\)

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Answer:(i) \(1\frac14\). (ii) \(\frac1{25}\). (iii) \(\frac{x}{3}\). (iv) \(25x^2\). (v) \(0\). (vi) \(\frac19\).

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