N-RN - Domain | Common Core State Standards

Standard Unwrapping

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rational exponentsinteger exponentsnotationradicalsexpressionsproperties of exponentsrational numbersirrational numbers

Explain (how the definition of rational exponents follows from extending integer exponents) #dok1
Rewrite (expressions involving radicals and rational exponents using properties of exponents) #dok1
Understand (the notation for radicals in terms of rational exponents) #dok2
Apply (properties of exponents to expressions involving rational exponents) #dok3
Analyze (the importance of properties of exponents in simplifying expressions) #dok3
Extend (properties of integer exponents to rational exponents) #dok4

I can explain how rational exponents extend the properties of integer exponents. #dok1
I can rewrite expressions using the properties of exponents, including expressions with radicals and rational exponents. #dok1
I can understand the notation for expressing radicals with rational exponents. #dok2
I can apply the properties of exponents to simplify expressions with rational exponents. #dok3
I can analyze expressions to determine how properties of exponents influence their simplification. #dok3
I can extend my understanding of integer exponents to rational exponents in various expressions. #dok4

Rational exponents extend the properties of integer exponents to include non-integer values.
Expressions involving radicals can be simplified and understood through the use of rational exponents.

How does the extension of integer exponents to rational exponents work?
Why is it useful to express radicals in terms of rational exponents?
What are the properties of exponents that apply to both integer and rational exponents?
How can we simplify expressions using rational exponents?
In what scenarios are rational exponents more advantageous or useful than using radical notation?