Task# Raising to the zero and negative powers

Illustrative MathematicsVaries

The goal of this task is to use the quotient rule of exponents to help explain how to define the expressions c^k for c >= 0 and k <= 0. This important definition is motivated and explained by the law of exponents: adopting the definitions for the expressions c^0 and c^(-n) given in the task allows us to maintain the intuitive product and quotient rules known for all positive exponents (which this task assumes students are familiar with).