What we are going to do in this case is to simplify the expression step by step.
We have then:
SqrR (3x ^ 12 * y ^ 10) / SqrR (5x ^ 6 * y ^ 3)
SqrR (3x ^ 12 * y ^ 10 * y) / SqrR (5x ^ 6 * y ^ 3 * y)
We use square root properties:
((x ^ 6 * y ^ 5) * SqrR (3y)) / ((x ^ 3 * y ^ 2) * SqrR (5))
We use power properties:
((x ^ (6-3) * y ^ (5-2)) * SqrR (3y)) / (SqrR (5))
((x ^ 3 * y ^ 3) * SqrR (3y)) / (SqrR (5))
((x ^ 3 * y ^ 3) * SqrR (15y)) / (SqrR (25))
1/5 * ((x ^ 3 * y ^ 3) * SqrR (15y))
Answer:
D. none of these
