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Solving Exponential Equations Worksheet | Laws of Exponents Math Printable

Solving Exponential Equations Worksheet | Laws of Exponents Math Printable

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

16 July 2026

pdf, 96.07 KB
pdf, 96.07 KB

A worksheet on solving exponential equations using laws of exponents (Multiplication Law, Division Law, Power of a Power Law, Power of a Product Law).
Some examples are given and then there are 20 problems to be solved.
Detailed solutions are included.

Looking for a no-prep, comprehensive maths printable to help your secondary students master solving exponential equations? This 20-problem practice worksheet is designed to build procedural fluency by guiding students through the process of equating bases and applying index laws. Whether you need an in-class activity, a GCSE or A-Level revision packet, homework, or an independent assessment, this resource has everything you need—complete with full, step-by-step worked solutions for every problem!

What’s Included in This Resource?
This download features a carefully scaffolded 2-page worksheet containing 20 total exponential equations that range from basic applications to multi-step simplifications:
Page 1: The Core Foundations (Problems 1–8)

  • Basic exponential equations where bases are matched
  • Applying the Product Law to combine indices before solving
  • Applying the Quotient Law and Power of a Power Law
  • Converting different bases to a common base
    Page 2: Advanced Algebra Applications (Problems 9–20)
  • Distributive properties in index powers
  • Multi-step variable manipulation on both sides of the equation
  • Advanced division, multiplication, and complex base changes
    Pages 3 & 4: Comprehensive Answer Keys
  • Fully worked, step-by-step solutions for all 20 problems—perfect for quick marking or student self-checking!

Curriculum Standards Aligned
Save time planning! This resource aligns directly with the UK National Curriculum, GCSE, and A-Level frameworks:

  • Key Stage 4 (GCSE): Estimate answers; check calculations using inverse operations; use index laws to simplify and calculate with powers.GCSE Higher Tier / AS Level: Understand and use the laws of indices for all rational exponents to solve equations with unknown indices.
  • Functional Skills Level 2: Apply mathematical formulas and equations to find values for unknown powers.

Ideal For:

  • KS4 GCSE Maths Higher Tier Classes
  • KS5 AS-Level Mathematics Core Modules
  • Fast Finishers, Independent Homework Assignments, or Cover Work
  • Remediation, Exam Prep, and End-of-Unit Reviews

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Get this resource as part of a bundle and save up to 43%

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