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: 1. A youth group has a yard sale to raise money for a charity. The group earns $800 but decides to put its money in the bank for a while. The group considers two different banks:
Cool Bank pays simple interest at a rate of 4%, and the youth group plans to leave the money in the bank for 3 years.
Hot Bank pays an interest rate of 3% compounded annually, and the youth group plans to leave the money in the bank for 5 years.
Write a function to represent the amount of money earned at each bank. Then determine how much money the youth group would earn in each situation.
2. If the youth group needs the money quickly, which is the better choice? Explain your reasoning.


aligns: no