Skip to main content
WebsitebeginnerFree

Exponents: Basic Rules

by Elizabeth Stapel · Purplemath

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.

Visit resource

More resources on Exponents

WebsiteFree

Wolfram MathWorld

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.

CourseFree

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!

WebsiteFree

Understanding Exponents (Why does 0^0 = 1?)

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.

WebsiteFree

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.

WebsiteFree

Paul's Online Notes — Algebra: Integer Exponents

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.

WebsiteFree

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.

See all Exponents resources →