Explanation
When working with exponents, certain rules help simplify expressions.
Important rules:
-
xᵃ · xᵇ = xᵃ⁺ᵇ
-
xᵃ / xᵇ = xᵃ⁻ᵇ
-
(xᵃ)ᵇ = xᵃᵇ
-
(xy)ᵃ = xᵃyᵃ
Example:
x³ · x² = x⁵
Variable Expressions
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Linear Equation
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Linear Inequalities
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Functions
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Composition of Functions
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Inverse Functions
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Arithmetic and Geometric Progressions
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Types of Functions
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Transformation of Functions
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Graphing Functions
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Equivalence Relation
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Reflexive Relation
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Symmetric Relations
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Inverse Relation
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Types of Relations
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Cartesian Coordinate System
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Graphing Linear Equations
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Arithmetic Sequence
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Geometric Sequence
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Matrices
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Matrix Operations
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Transformation Matrix
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Properties of Matrices
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Determinant of a Matrix
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Vector Algebra
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Scalar Product
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Product of Vectors
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Dot Product
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Cross Product
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Polynomials
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Factorization of Algebraic Expressions
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Factorization of Quadratic Equations
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Factor Polynomials
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Exponents and Exponential Functions
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Exponential Functions
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Irrational Exponents
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Operations on Exponential Terms
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Surds
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Square and Square Root
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Rationalization
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Rationalize the Denominator
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Quadratic Equations
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Roots of Quadratic Equations
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Graphing Quadratic Functions
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Complex Numbers
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Data Handling
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Statistics
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Categorical Data
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Permutation and Combination Lesson
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Sets
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Introduction to Logarithms
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Properties of Logarithms
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Logarithmic Functions
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Conic Sections
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