Simplifying Radical and Rational Powers

Simplifying Radical and Rational Powers

Secondary 3

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

  1. \({{\left( {{a}^{2}} \right)}^{\frac{5}{6}}}\times {{a}^{\frac{1}{3}}}\)
  1. \(\sqrt[5]{b}\div \sqrt[3]{{{b}^{2}}}\)

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Answer:(i) \(a|a|\) (equal to \(a^2\) for \(a\ge0\)). (ii) \(\frac1{b^{7/15}}\), \(b\ne0\).

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