Three worksheet on exponents (powers) with positive and negative bases.
There is one worksheet on exponents with positive or negative integers as bases, one worksheet on exponents with negative integers as bases and one worksheet on exponents with positive or negative integers or fractions as bases. In the exercises, students have to evaluate exponents with positive or negative bases and evaluate expressions involving such exponents, brackets addition and/or subtraction. Solutions to all worksheets are included.

Master Indices and Powers with Positive, Negative, Integer, and Fractional Bases!

Give your students the ultimate practice pack to conquer indices and powers! Evaluating exponents with negative numbers, brackets, and fractions can be incredibly confusing for secondary school maths students. This comprehensive, no-prep bundle brings together three targeted resources explicitly designed to eliminate common misconceptions—like understanding the zero index law, working with negative fractions, and recognising the crucial difference between (-3) squared and -5 squared.

Whether you need homework tasks, independent classwork, cover work, or quick assessments, this complete value pack has you covered.

What is Included in This Bundle?

• Resource 1: Indices with Positive and Negative Bases (8 Pages) – A fantastic introduction targeting basic positive/negative integer rules and distinguishing when the negative sign is inside vs. outside the brackets.
• Resource 2: Advanced Order of Operations (4 Pages) – Multi-step expressions that challenge students to apply index rules within complex maths strings using BIDMAS/BODMAS.
• Resource 3: Indices with Integers and Fractions (6 Pages) – Advanced practice covering whole numbers, zero indices, and positive/negative fractional bases raised to odd and even powers.
• Complete Answer Keys – Full step-by-step solutions are included for every single problem to make marking a breeze or to allow for quick student self-checking!

Perfect For:

• Key Stage 3 (KS3) and Key Stage 4 (KS4) maths classrooms
• Years 7, 8, 9, 10, and GCSE foundation/higher students
• Homework tasks or independent classwork
• Starter activities, warm-ups, or exit tickets
• Extra practice and intervention for struggling learners

Aligned with the UK National Curriculum for Mathematics:
*** Key Stage 3 Number:** Use integer powers and associated roots (square, cube and higher), recognise powers of 2, 3, 4, 5 and distinguish between exact representations of roots and their decimal approximations.

• Key Stage 4 / GCSE Mathematics: Calculate with roots, and with integer and fractional indices. Understand the structure of calculating with positive, negative, and fractional bases.