Which expression is equivalent to rootindex 3 startroot startfraction 10 x superscript 5 baseline over 54 x superscript 8 baseline endfraction endroot? assume x not-equals 0.

Respuesta :

The equivalent expression of the given expression (10^5 / 54x^8)^1/3 would be equal to 5^(1/3) / 3x.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

The expression is given as

[tex](10x^5 / 54x^8)^{1/3}\\\\(5 / 27x^3)^{1/3}\\\\5^{1/3}/ (27x^3)^{1/3}\\\\5^{1/3} / 3x[/tex]

This is the simplest form of expression.

Thus, the equivalent expression is 5^(1/3) / 3x.

Learn more about fractions;

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Answer:

D

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