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Question about Rational Exponents

Math

Originais Teachy

Rational Exponents

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(Originais Teachy 2023) - Question Medium of Math

During a chemistry class, the teacher explained the relationship between the concentration of a substance and the time required for it to dissolve completely in a solution. She mentioned that the amount of time t, in minutes, to dissolve a substance is given by the formula t = k * n^(1/3), where k is a constant and n is the amount of substance in grams. A student realized that this could be mathematically represented using rational exponents. a) Considering k = 2, determine the time required to dissolve 8 grams of this substance. b) Show how the chemistry teacher's formula can be represented in terms of exponentiation and radical notation. c) Determine the amount of substance that takes 16 minutes to dissolve completely, still considering k = 2.

Answer:

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