Question

Which expression is equivalent to ^3 square root 10x^5/54x^8 ?

Answer 1

D on edge

Explanation:

Answer 2

The first step for solving this expression is to reduce the fraction with
`x^(5)`.

`\sqrt[3]{ (10)/(54 x^(3) ) }`
Reduce the fraction with 2.

`\sqrt[3]{ (5)/(27 x^(3) ) }`
To take a root of a fraction,, you must take the root of the numerator and the denominator separately. This changes the expression to the following:

`\frac{ \sqrt[3]{5} }{3x}`
Since we cannot simplify this fraction down any further,, the correct answer to your question is going to be option D,,
`\frac{ \sqrt[3]{5} }{3x}`.
Let me know if you have any further questions.
:)