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: D264307FCC5B407BAA49067748F21038Standard set: Grades 9, 10, 11, 12
Original statement
Quick facts
- Statement code
- CCSS.Math.Content.HSN-RN.A.1
- List ID
- 1.
- Standard ID
- F8311BEF83154A0382D2134184D58EB6
- ASN identifier
- S114360F
- Subject
- Common Core Mathematics
- Grades
- 09, 10, 11, 12
- Ancestor IDs
- D264307FCC5B407BAA49067748F21038E743A0F8725441D99D91639F6C26B0EF62BD85B73DFC41B9A365E2288707BD48
- 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.