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.
Standard detail
CCSS.Math.Content.HSN-RN.A.1
Standard
Depth 3Parent ID: B338F926C42C4ED98052C8ACA05F35D1Standard set: Grades 9, 10, 11, 12
Original statement
Quick facts
- Statement code
- CCSS.Math.Content.HSN-RN.A.1
- List ID
- 1.
- Standard ID
- AE7567F3DCF34AAFAC8FDEFD76C5B239
- ASN identifier
- S2526227
- Subject
- Mathematics (2010-2014)
- Grades
- 09, 10, 11, 12
- Ancestor IDs
- B338F926C42C4ED98052C8ACA05F35D1F05503A1F7444BD78DE502DF1C4ABB9F26CABEF2751645E083E1414F8135F32A
- Exact matches
- Source document
- TN Common Core State Standards for Mathematics (2010)
- License
- CC BY 3.0 US
- Dataset notes
For example, we define 5<sup>1/3</sup> to be the cube root of 5 because we want (5<sup>1/3</sup>)³ = 5(<sup>1/3</sup>)³ to hold, so (5<sup>1/3</sup>)³ must equal 5.