Indices II
Overview
Indices II takes the laws of indices you already know and pushes them further, into negative and (at Extended) fractional powers, applied to numbers and algebra alike. Fractional indices are simply another way of writing roots, which links this topic neatly to surds.
In this lesson you will apply the rules of indices with positive, zero and negative powers, and (at Extended) interpret and use fractional indices such as a half meaning a square root.
Objectives
- Understand and use indices (positive, zero and negative).
- Understand and use the rules of indices.
- Understand and use indices (positive, zero, negative and fractional). (Extended only)
Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Indices II. 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.
- Evaluate 16^(1/2). A. 4 B. 8 C. 32 D. 256 Answer: A
- Evaluate 8^(1/3). A. 2 B. 3 C. 4 D. 24 Answer: A
- Evaluate 27^(2/3). A. 6 B. 9 C. 18 D. 729 Answer: B
- Simplify (x^5 x x^2) รท x^3. A. x^4 B. x^10 C. x^0 D. x^7 Answer: A
- Evaluate 5^(-2). A. -25 B. -10 C. 1/25 D. 1/10 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 Indices II? Download the Green Bridge CBT app to access mock questions and full practice assessments for this topic.
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