A worksheet on the following laws of exponents:

• Multiplication Law
• Division Law
• Power of a Power Law
• Power of a Product Law
• Power of a Quotient Rule
• Negative Exponent
• Zero Exponent
  A large number of problems are included and detailed solutions are provided.

Give your secondary maths students a rigorous workout with this comprehensive, no-prep practice worksheet pack on the laws of indices! This resource features carefully scaffolded sections designed to help Key Stage 3, GCSE Higher, and Foundation students build absolute fluency—ranging from foundational power-of-a-power rules to complex operations with negative bases, rational fractions, and exponential equations.

Whether you need a targeted homework assignment, a structured main-lesson task, or high-quality revision/cover work, this printable packet comes ready to download. It includes a complete, fully worked-out handwritten set of solutions showing every algebraic step.

What is Included?

• Student Practice Sheets: A clean, spacious layout providing students plenty of room to write out their calculations and show their index steps.
• Complete Step-by-Step Worked Solutions: Detailed, fully worked-out answers for every single question. This makes grading effortless and allows students to self-assess or peer-mark with ease.

Structured Sections for Differentiated Learning

• Section A (Evaluate the Following): 20 questions targeting basic numeric operations, zero indices, negative indices, and fraction bases.
• Section B (Write as a Single Power): 32 multi-step simplification tasks requiring students to apply multiplication rules, division rules, bracket rules, and base conversions.
• Section C (Find the Value of x): 8 engaging index equations where students must rewrite bases to solve for an unknown variable power.
• Section D & H (Advanced Evaluation & Substitution): Challenging expressions involving multiple laws combined, order of operations, and variable substitution inputs.

UK National Curriculum & Exam Board Alignment

• Key Stage 3 (KS3) Maths: Year 8 and Year 9 Algebra and Number — Understand and use integer exponents and apply the first three laws of indices.
• Key Stage 4 (KS4) / GCSE Foundation & Higher Tier: Perfect for strengthening core numeric algebra skills, simplifying index expressions, and working with fractional or negative indices.

Versatile Uses in the Classroom

• Independent classroom practice or main lesson tasks
• Differentiated homework assignments or weekend revision packets
• Structured partner work or small-group remediation
• A quick, high-quality, reliable resource for supply teacher lessons