Study Notes
Indices, also known as exponents or powers, indicate how many times a number is used in multiplication. The laws of indices include rules for multiplying, dividing, and raising powers, as well as converting negative powers to positive by taking the reciprocal.
- Exponent — the number that shows how many times to multiply the base. Example: In 2^3, 3 is the exponent, meaning 2 × 2 × 2.
- Power — the result of raising a base to an exponent. Example: 2^3 = 8, where 8 is the power.
- Absolute Value — the distance of a number from zero, always positive. Example: The absolute value of −9 is 9.
Exam Tips
Key Definitions to Remember
- Exponent: The number that indicates how many times to multiply the base.
- Power: The result of raising a base to an exponent.
- Absolute Value: The distance of a number from zero, always positive.
Common Confusions
- Confusing the base with the exponent.
- Forgetting to apply the laws of indices only when bases are equal.
Typical Exam Questions
- What is 2^3? 8
- Simplify (3^2) × (3^3). 3^5 or 243
- What is the absolute value of −7? 7
What Examiners Usually Test
- Understanding and applying the laws of indices.
- Calculating powers and exponents correctly.
- Using absolute value in different contexts.