# Academic 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 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 5Initiative:

Common Core State Standards

Framework:

Mathematics

Type:

Standard

Code:

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

Grade range:

9 to 12

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Academic Activity/Task

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*Tennessee Department of Education*and the

*U.S. Department of Education's Math & Science Partnership*program.