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Simplify the Expression 27xy233y23243xy43\frac { \sqrt [ 3 ] { 27 x y ^ { 2 } } \cdot \sqrt [ 3 ] { 3 y ^ { 2 } } } { \sqrt [ 3 ] { 243 x y ^ { 4 } } }

Question 609

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- 27xy233y23243xy43\frac { \sqrt [ 3 ] { 27 x y ^ { 2 } } \cdot \sqrt [ 3 ] { 3 y ^ { 2 } } } { \sqrt [ 3 ] { 243 x y ^ { 4 } } }


A) 933\frac { \sqrt [ 3 ] { 9 } } { 3 }

B) 333\frac { \sqrt [ 3 ] { 3 } } { 3 }

C) 939\frac { \sqrt [ 3 ] { 9 } } { 9 }

D) 33\sqrt [ 3 ] { 3 }

Correct Answer:

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