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Simplify the Expression x2y3x3y23\frac { \sqrt [ 3 ] { \mathrm { x } ^ { 2 } \mathrm { y } } \cdot \sqrt [ 3 ] { \mathrm { x } } } { \sqrt [ 3 ] { \mathrm { y } ^ { 2 } } }

Question 68

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- x2y3x3y23\frac { \sqrt [ 3 ] { \mathrm { x } ^ { 2 } \mathrm { y } } \cdot \sqrt [ 3 ] { \mathrm { x } } } { \sqrt [ 3 ] { \mathrm { y } ^ { 2 } } }


A) xy3x \sqrt [ 3 ] { y }
B) xy3y\frac { x \sqrt [ 3 ] { y } } { y }
C) xy23x \sqrt [ 3 ] { y ^ { 2 } }
D) xy23y\frac { x \sqrt [ 3 ] { y ^ { 2 } } } { y }

Correct Answer:

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