CCSS.Math.Content.HSN.RN.A.1 - Objective

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.

High School Number & Quantity · Common Core State Standards · Common Core 2010