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: 335A4192E56F4946BBFA608A984B7CCAStandard set: High School — Number and Quantity
Original statement
Quick facts
- Statement code
- CCSS.Math.Content.HSN-RN.A.1
- List ID
- 1.
- Standard ID
- 6C1A52BD74314433BD20371307857616
- ASN identifier
- S2526227
- Subject
- Mathematics (2010-2014)
- Grades
- 09, 10, 11, 12
- Ancestor IDs
- 335A4192E56F4946BBFA608A984B7CCA98289228938F4A0DA434E9E896A40CCE
- 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.