Expressing Roots and Radicals as Powers of 5

Expressing Roots and Radicals as Powers of 5

Secondary 3

Express each of the following as a power of \(5\).

  1. \(\sqrt[7]{5}\)
  1. \(\frac{1}{125}\times \sqrt{5}\)
  1. \(\sqrt[3]{{{125}^{2}}}\)

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Answer:(i) \(5^{1/7}\). (ii) \(5^{-5/2}\). (iii) \(5^2\).

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