Rewrite in simplest rational exponent form square root of x times the fourth root of x. Show each step of your process.

Mangei asked Jun 3, 2023

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Mangei asked Jun 3, 2023

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18 votes

Answer:

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

Explanation:

$√(x) * \sqrt[4]{x} \\ = {x}^{ (1)/(2) } * {x}^{ (1)/(4) } \\ = {x}^{ (1)/(2) + (1)/(4) } \\ = {x}^{ (3)/(4) } \\ = \sqrt[4]{ {x}^(3) }$

Luis Fernando answered Jun 10, 2023

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