For this case we have the following expression:
3 ^ root (27a ^ 3b ^ 7)
Rewriting we have:
(27a ^ 3b ^ 7) ^ (1/3)
((3 ^ 3) (a ^ 3) (b ^ 6) (b)) ^ (1/3)
Then, for power properties we have:
((3 ^ (3/3)) (a ^ (3/3)) (b ^ (6/3)) (b ^ (1/3)))
Rewriting:
((3) (a) (b ^ 2) (b ^ (1/3)))
(3) (a) (b ^ 2) (3 ^ root (b))
Answer:
(3) (a) (b ^ 2) (3 ^ root (b))
option 1