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

question 593

Multiple Choice

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

• A) \(x \sqrt [ 3 ] { y }\)
• B) \(\frac { x \sqrt [ 3 ] { y } } { y }\)
• C) \(x \sqrt [ 3 ] { y ^ { 2 } }\)
• D) \(\frac { x \sqrt [ 3 ] { y ^ { 2 } } } { y }\)

---

Definitions:

Activity Level

The degree of physical movement or energy expenditure, often discussed in relation to individual differences in temperament or behavior.

Intellect

The faculty of reasoning, understanding, and acquiring knowledge, often considered a critical aspect of one’s mind or cognitive ability.

Infant Attachment

The emotional bond that develops between an infant and their primary caregiver, influencing the child's behavioral and emotional development.

Research

A methodical examination and exploration of materials and sources aimed at discovering facts and deriving new insights.