What are indices? Definition: An index, or power, shows how many times a number is multiplied by itself. Indices are shortcuts for repeated multiplication. They are used to simplify calculations and express very large or small numbers efficiently
Laws of indices Identity Rule: Zero Exponent Rule: Multiplication Rule: Division Rule: Power of a Power: Power of a Quotient Rule : Negative Exponent Rule: Power of a Product Rule:
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Summary of law of indices What We Learned Today: Exponents (indices) are a shorthand way to represent repeated multiplication. The rules of indices help us simplify, calculate, and manipulate powers efficiently. Why This Matters: Algebra, advanced mathematics, and science are all based on these principles. They allow us to solve equations and simplify complex expressions. “Mastering the laws of indices is like learning the grammar of numbers — once you know the rules, you can build and simplify any mathematical sentence.” The Laws of Indices: Identity Rule: Multiplication Rule: Division Rule: Power of a Power: Power of a Product: Power of a Quotient: Zero Exponent: Negative Exponent: