Use the Properties of Exponents to Simplify the Expression $$\left( x ^ { 1 / 3 } y ^ { 3 / 5 } \right) \left( x ^ { - 1 / 3 } y ^ { 3 / 2 } \right)$$

question 24

Multiple Choice

Use the properties of exponents to simplify the expression. Write with positive exponents.
- $$\left( x ^ { 1 / 3 } y ^ { 3 / 5 } \right) \left( x ^ { - 1 / 3 } y ^ { 3 / 2 } \right)$$

• A) \(\frac { y ^ { 9 / 10 } } { x ^ { 1 / 9 } }\)
• B) \(\frac { y ^ { 9 / 10 } } { x ^ { 2 / 3 } }\)
• C) \(x y ^ { 21 / 10 }\)
• D) \(y ^ { 21 / 10 }\)

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Definitions:

Defence Mechanisms

Psychological strategies brought into play by individuals, groups, or even nations to cope with reality and to maintain self-image.

Phenomenology

The philosophical study of the structures of experience and consciousness.

Self-Actualization

The act of actualizing one's aptitudes and prospects, thought of as a basic drive or compulsion in all people.

Self-Sufficiency

The ability to fulfill all of one's needs without reliance on external assistance.