Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.1

Explain how the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for an additional notation for radicals in terms of rational exponents. [Algebra I with Probability, 1]

Unpacked Content

Knowledge

Students know:
  • The meaning of rational exponents
  • Where the value of a number to a rational exponent derives from, based on a table and graph

Skills

Students are able to:
  • Explain how the meaning of rational exponents derives from a table, graph, and properties of integer exponents.

Understanding

Students understand that:
  • the denominator of the rational exponent is the root index and the numerator is the exponent of the radicand.

Vocabulary

  • Rational exponent
  • Radical
  • Root Index
  • Radicand
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