Indices I
Overview
Indices are mathematical shorthand for repeated multiplication, and the rules of indices let you combine powers without writing them out in full. They make light work of expressions that would otherwise be huge, and they are the foundation of standard form and much of the algebra ahead.
In this lesson you will use positive, zero and negative indices, and apply the laws of indices to multiply, divide and raise powers. These few rules, once secure, turn complicated-looking expressions into quick one-line simplifications.
Objectives
- Understand and use indices (positive, zero and negative integers).
- Understand and use the rules of indices.
- Understand and use indices (positive, zero, negative, and fractional). (Extended only)
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Mind map
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Flashcards
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Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Indices I. 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.
- Simplify 2^3 x 2^4. A. 2^7 B. 2^12 C. 4^7 D. 2^1 Answer: A
- Simplify 5^6 รท 5^2. A. 5^3 B. 5^4 C. 5^8 D. 1^4 Answer: B
- What is the value of 7^0? A. 0 B. 1 C. 7 D. 70 Answer: B
- What is the value of 2^-3? A. -8 B. -6 C. 1/8 D. 6 Answer: C
- Simplify (3^2)^3. A. 3^5 B. 3^6 C. 3^8 D. 9^3 Answer: B
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