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Mississippi Math

Algebra II: Number and Quantity: The Real Number System (N-RN)

Extend the properties of exponents to rational exponents

N-RN.1

Fully covered
Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^(1/3) to be the cube root of 5 because we want [5^(1/3)]^3 = 5^(1/3)3 to hold, so [5^(1/3)]^3 must equal 5.