## Fractional Indices worksheet

Suitable for Year groups: 9, 10
GCSE Tier:
Higher
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Prerequisite knowledge: Converting decimals to fractions. the effect of positive integer indices.
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## Fractional Indices worksheet description

This worksheet will see your learners simplifying and evaluating with fractional indices. They will begin by writing algebraic bases and fractional indices in root form, starting with unit fractions and progressing to fractions such as ⅔. Next, in section B, students do the opposite as they convert algebraic terms in root form to index form.

Sections C and D require learners to find the value of numerical bases and fractional indices. You may wish to allow the use of calculators here as students have to find the value of powers such as 7⁵. In section C, all bases are integers and in section D bases are fractions or decimals.

Lastly, section E sees pupils finding missing values to make statements correct. Here, they could be working out a missing base or index.

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