Respuesta :

Answer:

A

Step-by-step explanation:

The question is actually: 2 \sqrt[3]{x^3} ·\sqrt{16x}

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The expression is equivalent to option A, [tex]\rm 8x \sqrt[6]{x}[/tex].

What is an Expression?

An expression is a mathematical statement that consists of variables, constants, and mathematical operators.

The expression is [tex]\rm 2\sqrt[3]{x^2} . \sqrt{16x}[/tex]

The expression can be simplified as

[tex]\rm = 2 . 4 x^{2/3} x^{1/2}\\\\\=8 x ^{ 7/6}\\\\\\ = 8x x^{1/6}\\\\= 8x \sqrt[6]{x}[/tex]

Therefore, the expression is equivalent to option A, [tex]\rm 8x \sqrt[6]{x}[/tex].

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