Simplifying Negative Indices to Positive Form

Simplifying Negative Indices to Positive Form

Secondary 3

Simplify each of the following, giving your answers in positive index notation.

  1. \(18{{a}^{-6}}\div {{\left[ 3\left( {{a}^{-2}} \right) \right]}^{2}}\)

  1. \({{\left( 3{{c}^{2}}{{d}^{-2}} \right)}^{2}}\)
  1. \(5{{b}^{0}}\times 3{{\left( {{b}^{-2}} \right)}^{2}}\)
  1. \({{\left( \frac{{{e}^{2}}{{f}^{-1}}}{2} \right)}^{-3}}\)

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Answer:(i) \(\frac6{a^2}\). (ii) \(\frac{15}{b^4}\). (iii) \(\frac{9c^4}{d^4}\). (iv) \(\frac{8f^3}{e^6}\).

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