Powers And Roots
Overview
Powers and roots give you a compact way to express repeated multiplication and to reverse it. From squaring a side length to find an area, to using index laws to simplify algebraic expressions, these skills run through almost every topic in the Edexcel IGCSE specification.
You will build fluency with squares, cubes and their roots, master the index laws for integer powers, and learn to decompose numbers into prime factors for finding HCF and LCM. Higher tier students will extend this to surds and fractional indices.
Objectives
- Identify square numbers and cube numbers
- Calculate squares, square roots, cubes and cube roots
- Use index notation and index laws for multiplication and division of positive and negative integer powers including zero
- Express integers as a product of powers of prime factors
- Find highest common factors (HCF) and lowest common multiples (LCM)
- [Higher] Understand the meaning of surds
- [Higher] Manipulate surds, including rationalising a denominator
- [Higher] Use index laws to simplify and evaluate numerical expressions involving integer, fractional and negative powers
Lesson Note
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Lesson Evaluation
Congratulations on completing the lesson on Powers And Roots. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- What is the value of 2^(-3)? A) -8 B) -6 C) 1/8 D) 8 Answer: C
- Which of the following is a cube number? A) 16 B) 36 C) 64 D) 100 Answer: C
- Simplify 5^3 x 5^4. A) 5^7 B) 5^12 C) 25^7 D) 5^1 Answer: A
- What is the value of 9^(1/2)? A) 4.5 B) 3 C) 18 D) 81 Answer: B
- What is the HCF of 48 and 84? A) 4 B) 6 C) 12 D) 24 Answer: C
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Recommended Books
Practice Mock Questions
Want to practice mock questions on Powers And Roots? Download the Green Bridge CBT app to access mock questions and full practice assessments for this topic.
Download The App On Google Playstore
Everything you need to excel in your exams
