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19n3=□\sqrt[3]{19n} = \square\newline(Use integers or fractions for any numbers in the expression. Type your answer using exponential notation.)

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Full solution

Q. 19n3=□\sqrt[3]{19n} = \square\newline(Use integers or fractions for any numbers in the expression. Type your answer using exponential notation.)
  1. Understand the Problem: Understand the problem.\newlineWe need to find the cube root of the expression 19n19n. The cube root of a number xx is the number yy such that y3=xy^3 = x. In exponential notation, the cube root of xx is written as x1/3x^{1/3}.
  2. Express in Exponential Form: Express the given expression in exponential form.\newlineThe cube root of 19n19n can be written as (19n)13(19n)^{\frac{1}{3}}.
  3. Check for Simplifications: Check for any possible simplifications.\newlineSince 1919 is a prime number and nn is an unknown variable, there are no further simplifications that can be made to the expression (19n)13(19n)^{\frac{1}{3}}.

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