Pre-Algebra: Radicals and Integer Exponents

Overview

This path introduces the rules and properties of exponents and radicals, building number sense for very large and very small quantities. You'll work with integer exponents, explore square and cube roots, connect radicals to fractional exponents, and compute with scientific notation.

Syllabus

Course 1: Making Sense of Exponents
Course 2: Rules of Integer Exponents
Course 3: Understanding Roots and Radicals
Course 4: Scientific Notation in Real Life

Courses

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You'll discover what exponents really mean — from repeated multiplication through zero and negative exponents — so every power you see makes intuitive sense rather than feeling like a memorized rule.
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You'll learn the core rules for simplifying expressions with exponents — product, quotient, and power of a power — by seeing why each shortcut works, then apply your skills fluently to powers of ten.
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You'll build intuition for square roots and cube roots as the inverses of squaring and cubing, estimate roots of non-perfect values, and connect radical notation to fractional exponents.
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You'll master scientific notation as a practical tool for reading, writing, comparing, and computing with very large and very small numbers, grounded in real-world quantities like populations and microscopic measurements.