--- title: Exponents description: Exponents represent repeated multiplication of a number by itself. Learners will understand how to apply the laws of exponents, simplify algebraic expressions involving powers, and work with scientific notation and negative or fractional exponents. category: mathematics subcategory: arithmetic-and-pre-algebra difficulty: beginner, intermediate, advanced url: /subject/exponents --- # Exponents Exponents represent repeated multiplication of a number by itself. Learners will understand how to apply the laws of exponents, simplify algebraic expressions involving powers, and work with scientific notation and negative or fractional exponents. ## Available Resources 1 Courses • 6 Websites ## Courses ### 1. Pre-Algebra: Exponents and Order of Operations Master exponents and order of operations in this comprehensive Pre-Algebra course from Khan Academy. Build a strong math foundation today! **Difficulty:** Beginner | **Price:** Free **Link:** https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals **Tags:** exponents, order-of-operations, square-roots, pre-algebra ## Websites ### 1. Exponents: Basic Rules **Author:** Elizabeth Stapel Purplemath lesson on the basic rules of exponents: product, quotient, power-of-a-power, power-of-a-product and power-of-a-quotient properties, plus the zero exponent, each derived by expanding repeated multiplication so learners can simplify exponential expressions without memorizing rules. **Difficulty:** Beginner | **Price:** Free **Link:** https://www.purplemath.com/modules/exponent.htm **Tags:** exponents, exponent-rules, algebra, powers ### 2. Understanding Exponents (Why does 0^0 = 1?) **Author:** Kalid Azad Kalid Azad reframes exponentiation as a growth machine where the base sets the rate of growth and the exponent sets how long it runs. The metaphor makes zero, negative and fractional exponents follow as consequences rather than memorised rules. **Difficulty:** Beginner | **Language:** English | **Price:** Free **Link:** https://betterexplained.com/articles/understanding-exponents-why-does-00-1/ **Tags:** exponents, zero-exponent, negative-exponents, fractional-exponents, intuition ### 3. OpenStax Prealgebra 2e — Integer Exponents and Scientific Notation Section from OpenStax's peer-reviewed, CC-licensed prealgebra textbook. Consolidates the product, power, quotient and zero-exponent properties, defines negative exponents through reciprocals, then applies them to converting, multiplying and dividing numbers in scientific notation, with exercises. **Difficulty:** Beginner | **Language:** English | **Price:** Free **Link:** https://openstax.org/books/prealgebra-2e/pages/10-5-integer-exponents-and-scientific-notation **Tags:** exponents, exponent-rules, negative-exponents, scientific-notation, prealgebra ### 4. Paul's Online Notes — Algebra: Integer Exponents **Author:** Paul Dawkins Paul Dawkins's university algebra notes state and demonstrate eleven properties of integer exponents, including zero and negative powers, with six progressively harder worked examples and a section cataloguing the parenthesis and sign errors students make most often. **Difficulty:** Intermediate | **Language:** English | **Price:** Free **Link:** https://tutorial.math.lamar.edu/Classes/Alg/IntegerExponents.aspx **Tags:** exponents, exponent-rules, negative-exponents, college-algebra, common-mistakes ### 5. Wolfram MathWorld **Author:** Eric W. Weisstein MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading. **Difficulty:** Intermediate | **Language:** English | **Price:** Free **Link:** https://mathworld.wolfram.com **Tags:** mathematics-reference, encyclopedia, abstract-algebra, number-theory, geometry ### 6. mathsisfun.com MathIsFun.com is a beginner-friendly math site that explains concepts with clear, step-by-step lessons and interactive activities. It covers topics from algebra and linear equations to geometry, fractions, data, and more, with practice problems, worksheets, and quizzes. **Difficulty:** Intermediate | **Language:** English | **Price:** Free **Link:** https://mathsisfun.com **Tags:** websites, mathematics-statistics, algebra --- *This content is part of Dantes.io - Your Treasure Map to Knowledge* *Curated by humans at Dantes.io. Personal study use welcome; republishing this curation requires permission (team@dantes.io).* View this page online: https://dantes.io/subject/exponents