Fractional Indices WORKSHEET
Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
Fractional Indices WORKSHEET DESCRIPTION
This worksheet will help your learners simplify and evaluate 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 from 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 7^5. 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.
All worksheets are created by the team of experienced teachers at Cazoom Math.
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Frequently Asked Questions
This worksheet is designed for 8th Grade and IM 1 students who are ready to work with more advanced concepts involving indices. At these levels, students have typically mastered basic exponent rules and are prepared to tackle the challenge of fractional powers and their relationship to roots.