Question

Which expression is equivalent to 4√24x6y/128x4y5? Assume x ≠ 0 and y > 0.

Answer 1

its D jus trust

Explanation:

Answer 2

For this case we must simplify the given expression:

Rewriting we have:

`\sqrt [3] {\frac {2 * 5x ^ 5} {2 * 27x ^ 8}} =\\\sqrt [3] {\frac {5x ^ 5} {27x ^ 8}} =`

By definition of division of powers of equal base, the same base is placed and the exponents are subtracted:

`\sqrt [3] {\frac {5x ^ {5-8}} {27}} =\\\sqrt [3] {\frac {5x ^ {- 3}} {27}} =\\\sqrt [3] {\frac {5} {27x ^ 3}} =`

We have to:

`\sqrt [3] {27x ^ 3} = 3x`

Then, the expression is reduced to:

`\frac {\sqrt [3] {5}} {3x}`

ANswer:

Option D