Roots and Rational Exponents Without a Calculator

Roots and Rational Exponents Without a Calculator

Secondary 3

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

  1. \(\sqrt[4]{256}\)
  2. \(\sqrt[5]{1024}\)
  3. \(\sqrt[3]{\frac{8}{27}}\)
  4. \({{49}^{\frac{1}{2}}}\)
  5. \({{\left( 1\frac{7}{9} \right)}^{-\frac{1}{2}}}\)
  6. \({{\left( -64 \right)}^{-\frac{1}{3}}}\)

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Answer:(i) \(4\). (ii) \(4\). (iii) \(\frac{2}{3}\). (iv) \(7\). (v) \(\frac{3}{4}\). (vi) \(-\frac{1}{4}\).

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