Exponents and Radicals
Learn the core properties of exponents. Uncover their connection to radicals. Apply exponent rules alongside other fundamental operations.
Multiplication Patterns
Exponents
Bases
Special Bases and Exponents
Base 10
Level Review
Powers of 2 on the Number Line
Reasoning with Powers of 2
Powers of 3 on the Number Line
Powers of 10 on Number Lines
Estimating with Powers of 10
Millionaires and Billionaires
Power Problems on Number Lines
Level Review
Squaring
Squares on the Number Line
Square Roots
Square Roots of Non-Squares
The Inverse of Squaring
Square Roots and Negatives
Level Review
Cubes
Reasoning with Cubes
Cubes on The Number Line
Cube Roots
Cube Roots as Inverse
Higher Order Roots
Level Review
Order and Evaluation
Parentheses and Exponents
Powers, Roots, Multiplication
Powers, Roots and Sums
Expressions in Radicals
Level Review
All Operations
Nested Grouping Symbols
Nested Radicals and Powers
Fraction Bar Grouping
Complex Expressions
Level Review
Course description
Learn the fundamental laws of exponents and develop fluency in their algebraic manipulation. Discover how these laws naturally connect exponents and radicals. Explore how exponent rules interact with other fundamental operations. Apply exponent notation in contexts such as scientific notation and prime factorization.
Topics covered
- Squares and cubes;
- powers as repeated multiplication;
- Laws of exponents (product, quotient, power of a power, power of products and quotients);
- Zero and negative exponents;
- Prime factorization and scientific notation using exponents
- nth roots as inverses of powers;
- Rational exponents and radical–exponent equivalence;
- Simplifying, estimating, and operating with radicals (products, quotients, rationalizing simple denominators)
Prerequisites and next steps
Prerequisites: Negative Numbers, Fractions