A. 5x3y3square root fifteen y
B. x cubed y cubed square root fifteen y over five
C. square root of fifteen x to the eighteenth y to the thirteenth over five x to the six times y cubed
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
