which expression is equivalent to 2^3 square root x^2 • square root 16x if x > 0

Answer:
A
Step-by-step explanation:
The question is actually: 2 \sqrt[3]{x^3} ·\sqrt{16x}
The expression is equivalent to option A, [tex]\rm 8x \sqrt[6]{x}[/tex].
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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