Applying Law of Indices

Applying Law of Indices

Secondary 3

Simplify each of the following

  1. \({{\left( \frac{3}{{{a}^{2}}} \right)}^{3}}\)
  1. \({{\left( \frac{{{b}^{2}}}{c} \right)}^{3}}\times \frac{{{c}^{7}}}{{{b}^{2}}}\)
  1. \(\frac{6{{d}^{3}}}{e}\div {{\left( \frac{-3d}{{{e}^{2}}} \right)}^{2}}\)

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Answer:(i) \(\frac{27}{a^6}\). (ii) \(b^4c^4\). (iii) \(\frac23de^3\).

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