Which expression is equivalent to sqrt 8/x^6. assume x > 0

We have the following expression:

sqrt 8 / x ^ 6

Rewriting we have:

sqrt (8 / x ^ 6)

sqrt (2 * 4 / ((x ^ 2) * (x ^ 2) * (x ^ 2)))

(2 / (x * x * x)) sqrt (2)

(2 / x ^ 3) * sqrt (2)

Answer:

An equivalent expression is given by:

(2 / x ^ 3) * sqrt (2)