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: Problem 1
Solve.
$${87\div31}$$
Problem 2
Sam played arcade games and won 79 tickets. You can buy 1 prize for every 18 tickets earned. Sam bought as many prizes as he could with his tickets. How many prizes was Sam able to buy?


aligns: no