MA19.8A.2

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

MA19.8A.2

Rewrite expressions involving radicals and rational exponents using the properties of exponents. [Algebra I with Probability, 2]

Unpacked Content

Knowledge

Students know:
  • the denominator of the rational exponent is the root index and the numerator is the exponent of the radicand. For example, 51/2=5 and 163/2=(161/2)3= (16)3=43=64.
  • The root index of the radical is the denominator of the rational exponent and the exponent of the radicand is the numerator of the rational exponent. For example, 4103= 103/4.

Skills

Students are able to:
  • Rewrite expressions from radical representations to rational exponents and vice versa.

Understanding

Students understand:
  • The meaning of rational exponents and how to convert between them and radical representations.

Vocabulary

  • Radical
  • Rational exponent
  • Expression
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