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
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
Power Problems on Number Lines
Squaring
Squares on the Number Line
Up next
Coordinate Geometry
Use coordinates and the areas of shapes to derive Pythagoras' Theorem.
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