Help your students prepare for their Maths GCSE with this free fractional indices worksheet of 20+ questions and answers
Fractional indices are exponents which are fractions. The denominator of the fraction tells us to take a specific root of the base number (such as the square root or the cube root etc.), whilst the numerator tells us the power to raise this to. For example, let’s look at 16 raised to the power of 3 over 2. The denominator of the power is 2 so we take the square root of 16 which is 4. The numerator of the power is 3 so we raise 4 to the power of 3 to give 64.
When we have fractional or negative indices, the rules of indices still apply (e.g. adding the powers when multiplying terms, subtracting the powers when dividing terms).
We could also have negative fractional indices which tell us to take the reciprocal.
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