# Access Point #: MAFS.912.N-RN.1.AP.1a

Understand that the denominator of the rational exponent is the root index and the numerator is the exponent of the radicand (e.g., 51/2 = √5). Extend the properties of exponents to justify that (51/2)2=5
Clarifications:

#### Essential Understandings

Concrete:

• Identify a fractional exponent.
• Use manipulatives to demonstrate laws of exponents.
Representation:
• Understand the following concepts, symbols and vocabulary: radicand, root index, root, numerator, denominator, radical, exponent.
• Understand the parts of a fraction.
• Understand how to multiply fractions and whole numbers.
• Understand that a fractional exponent is a root.
• Understand that a root is the inverse of a fractional exponent.
• Understand that “radicals” (roots) are the “opposite” operation of applying exponents.
• Understand that you can “undo” a power with a radical, and a radical can “undo” a power.
General Information
Number: MAFS.912.N-RN.1.AP.1a
Category: Access Points
Cluster: Extend the properties of exponents to rational exponents. (Algebra 1 - Major Cluster) (Algebra 2 - Major Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

## Related Standards

This access point is an alternate version of the following benchmark(s).

## Related Courses

This access point is part of these courses.
1200310: Algebra 1
1200320: Algebra 1 Honors
1200330: Algebra 2
1200340: Algebra 2 Honors
1200370: Algebra 1-A
1200400: Foundational Skills in Mathematics 9-12
1207310: Liberal Arts Mathematics
1206330: Analytic Geometry
1200700: Mathematics for College Algebra
7912080: Access Algebra 1A
1200315: Algebra 1 for Credit Recovery
1200335: Algebra 2 for Credit Recovery
1200375: Algebra 1-A for Credit Recovery
7912075: Access Algebra 1
7912095: Access Algebra 2

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Type: Element Cards

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