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 to the 1/3 power to be the cube root of 5 because we want (5 to the 1/3 power)³ = 5 to the (1/3)(3) to hold, so (5 to the 1/3 power)³ must equal 5.
Number and Quantity
The Real Number System
- Extend the properties of exponents to rational exponents.