Overview
The Laws of Indices are essential rules in mathematics that simplify calculations involving powers. They provide a systematic way to handle expressions with exponents, making it easier to perform operations like multiplication and division. Understanding these laws is crucial for progressing in alge...
Key Terms
Example: In 2^3, 3 is the exponent.
Example: In 2^3, 2 is the base.
Example: 2^3 equals 8, so 8 is the power.
Example: 5^0 = 1.
Example: 2^(-3) = 1/(2^3) = 1/8.
Example: a^m * a^n = a^(m+n).
Related Topics
Exponents and Radicals
Explores the relationship between exponents and roots, including square roots and cube roots.
intermediateAlgebraic Expressions
Focuses on simplifying and manipulating algebraic expressions, including those with indices.
intermediateQuadratic Equations
Covers solving equations that can be expressed in the form ax^2 + bx + c = 0, often involving indices.
advancedLogarithms
Introduces the concept of logarithms, which are the inverse operations of exponentiation.
advancedKey Concepts
Multiplication of indicesDivision of indicesPower of a powerZero and negative indices