In the next video you are shown how to work with rational (fractional) indices using the rule.

Formulae to remember:

  • {{x^{\tfrac{1}{n}}} = \sqrt[n]{x}}
  • {{x^{\tfrac{m}{n}}} = {{\left( {\sqrt[n]{x}} \right)}^m}}
  • {{x^{\tfrac{m}{n}}} = \sqrt[n]{{{x^m}}}}
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Indices - Fractional Powers : ExamSolutions

Summary Exercise

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Indices (Exponents) - Rational Powers (Exercise) : ExamSolutions Maths Revision