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: Task
Before a game, Jake's batting average was exactly 0.350.  That is, the decimal expansion of the fraction $$\frac{\text{number of hits}}{\text{times at bat}}$$ is equal to 0.350. During the game, Jake bats 4 times and get 2 hits.  If Jake's batting average after the game is 0.359, how many times had Jake batted before the game? Explain.


aligns: no