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charle [14.2K]
4 years ago
14

SqrR(3x^12 * y^10) / SqrR(5x^6 * y^3)

Mathematics
1 answer:
ICE Princess25 [194]4 years ago
8 0
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
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