Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. For example, we define 5^{1/3 }to be the cube root of 5 because we want (5^{1/3})^{3} = 5^{(1/3)3} to hold, so (5^{1/3})^{3} must equal 5.

**Internet Resources (Videos, Websites, etc.)**

Alabama Lesson Plans

- Just the facts! Exploring Order of Operations and Properties of Real Numbers
- Calendar Fun Operations
- You Mean ANYTHING To The Zero Power Is One?

Hot Math

Illustrative Mathematics Project

Khan Academy

- Exponents 3 – Rational Exponents (Practice)
- Level 3 Exponents – Fractional Exponents (Video)
- Radical Equivalent to Rational Exponents (Video)
- Radical Equivalent to Rational Exponents 2 (Video)
- Rational Exponents and Exponent Laws (Video)
- More Rational Exponents and Exponent Laws (Video)

Math Celebrity

Math Warehouse

Mathematics Assessment Project (MAP)

NCTM Illuminations

PDF Lesson

Regents Prep

Shmoop

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