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 51/3 to be the cube root of 5 because we want (51/3)3 = 5(1/3)3 to hold, so (51/3)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?
Illustrative Mathematics Project
- 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)
Mathematics Assessment Project (MAP)