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 coffee shop has 8 bags full of used coffee grounds. They weighed the amount of grounds in each bag and recorded their weight in the line plot below.
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Weight (in pounds)
The coffee shop wants to put the same amount, in pounds, of coffee grounds in the 8 bags to donate to local farmers to use as fertilizer. How much coffee grounds, in pounds, should be in each bag so that all of the bags have the same weight?


aligns: no