Root ((72x ^ 16) / (50x ^ 36))
The first thing we must do in this case is to rewrite the expression:
Root ((36x ^ 16) / (25x ^ 36))
(6/5) * Root ((x ^ 16) / (x ^ 36))
Then, for power properties we have:
(6/5) * Root ((x ^ (16-36))
(6/5) * Root ((x ^ (- 20))
(6/5) * Root (1 / (x ^ 20))
We rewrite the expression again:
(6/5) * ((1) ^ (1/2) / (x ^ 20) ^ (1/2))
(6/5) * (1 / (x ^ 10))
(6 / (5 * x ^ 10))
Answer:
(6 / (5 * x ^ 10))
option A
