Exploring Rational Exponents & Radicals

Description

This resource covers the concepts of rational exponents and radicals, detailing how to convert between the two forms, evaluate expressions involving rational exponents, and plot the corresponding radical functions. Students will learn key properties of rational exponents, including the Product, Quotient, and Power rules. The document provides worked examples along with guided practice problems in both converting between radical and rational forms and simplifying expressions. It includes real-world applications, particularly in biology, to relate mathematical concepts to surface area calculations. Additionally, it explores the graphing of radical functions and their transformations, ensuring a comprehensive understanding of rational exponents and their applications in mathematics.