. Grade 8, Illustrative icon
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).

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