Assessment and teaching ideas for Common Core Standard N.RN.1: 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 51/3 to be the cube root of 5 because we want (51/3)3=5(1/3)3 to hold, so (51/3)3 must equal 5.

Assessment and teaching ideas for Common Core Standard N.RN.1: 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 51/3 to be the cube root of 5 because we want (51/3)3=5(1/3)3 to hold, so (51/3)3 must equal 5.