standard_description: 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.
problem_activity: A pitcher of water holds 48.2 ounces of water in it. The water is poured into two glasses, 12.08 ounces into one glass and 18.86 ounces into a second glass.
a.   How much water is poured out of the pitcher?
b.   How much water is left in the pitcher?


aligns: no