Sectieoverzicht

  • Exponents can be any rational number, which means they can be fractions too. A fractional exponent is the same as finding some root of a number. We generalise this as:
    \[{ x}^{\frac{1}{n} }=\sqrt[x]{n}\] where \(n\in N\) and \(x\in R\) 
    The root symbol has a special name, it is called a radical.

    Each part of a radical has its own name.

    Each part of a radical
    The next video shows examples of fractional exponents.

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      Change from fractional to radical form

      The number in the numerator of the fractional exponent becomes the exponent of the radicand and the number in the denominator of the fractional exponent is the root as shown in the next image. Convert from fractional exponent to radical form

      You can practise changing from rational exponents to radical form by clicking: Rational exponents exercise.