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
