Which expression is equivalent to StartRoot StartFraction 8 Over x Superscript 6 Baseline EndFraction EndRoot? Assume x Greater-than 0. StartFraction x cubed StartRoot 2 EndRoot Over 2 EndFraction StartFraction 4 StartRoot 2 EndRoot Over x cubed EndFraction StartFraction StartRoot 2 EndRoot Over 2 x cubed EndFraction StartFraction 2 StartRoot 2 EndRoot Over x cubed EndFraction

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Answer:

D

Step-by-step explanation:

The expression is equivalent to [tex]\rm \frac{2 \sqrt2}{x^3}[/tex]. Option D is correct.

What is the definition of a fraction number?

A fraction number is a number that represents a portion of a larger number, where the larger number might be any integer. It has the shape of a numerator and a denominator.

The given expression is;

[tex]\rm \sqrt {\frac{8}{x^6}}[/tex]    x>0

The square root of 8 is 2√2 and x⁶ is x³.

The expression is equivalent to [tex]\rm \frac{2 \sqrt2}{x^3}[/tex].

Hence, option D is correct.

To learn more about fraction numbers, refer to https://brainly.com/question/8602593

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