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.
II.A.SSE.1
Interpret quadratic and exponential expressions that represent a quantity in terms of its context.
II.A.SSE.1.b
Interpret increasingly more complex expressions by viewing one or more of their parts as a single entity. Exponents are extended from the integer exponents to rational exponents focusing on those that represent square or cube roots.
II.A.SSE.2
Use the structure of an expression to identify ways to rewrite it.