## N-RN.1

Grade / Level | High School - Number and Quantity |
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Domain | The Real Number System |

Cluster | Extend the properties of exponents to rational exponents. |

Standard | 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. |