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

question 609

Multiple Choice

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

• A) \(\frac { \sqrt [ 3 ] { 9 } } { 3 }\)
• B) \(\frac { \sqrt [ 3 ] { 3 } } { 3 }\)
• C) \(\frac { \sqrt [ 3 ] { 9 } } { 9 }\)
• D) \(\sqrt [ 3 ] { 3 }\)

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