# Alg2.3 Complex Numbers and Rational Exponents

In this unit, students use what they know about exponents and radicals to extend exponent rules to include rational exponents (for example, \(5^{\frac{1}{3}}=\sqrt[3]{5}\)), solve various equations involving squares and square roots, develop the concept of complex numbers by defining a new number \(i\) whose square is -1, and use complex numbers to find solutions to quadratic equations.