What is the following product? Assume x>0. ^3root (x^2) • ^4root (x^3)

Terry Burton asked Mar 11, 2023

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Terry Burton asked Mar 11, 2023

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8 votes

Answer:

$x \sqrt[12]{ {x}^(5) }$

Explanation:

$\sqrt[3]{ {x}^(2) } \sqrt[4]{ {x}^(3) }$

${x}^{ (2)/(3) } {x}^{ (3)/(4) } = {x}^{ (8)/(12) } {x}^{ (9)/(12) } = {x}^{ (17)/(12) } = {x}^{ (5)/(12) } x = x \sqrt[12]{ {x}^(5) }$

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