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 2Parent ID: 36D42F6B8B594F1F93AD45E6DA7E6CC0Standard set: High School — Number and Quantity
Original statement
Quick facts
- Statement code
- CCSS.Math.Content.HSN-RN.A.1
- List ID
- 1.
- Standard ID
- 5FE9235D5360462883B21C393926E3AD
- ASN identifier
- S114360F
- Subject
- Common Core Mathematics
- Grades
- 09, 10, 11, 12
- Ancestor IDs
- 36D42F6B8B594F1F93AD45E6DA7E6CC0287C269FCFC34B27A50B166BC774E01C
- Source document
- 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.