Use the Properties of Exponents to Simplify the Expression $$\left( 2 x ^ { - 1 / 3 } y ^ { 1 / 3 } \right) \left( - 8 x ^ { 1 / 4 } y ^ { - 1 / 6 } \right)$$

question 39

Multiple Choice

Use the properties of exponents to simplify the expression. Write with positive exponents.
- $$\left( 2 x ^ { - 1 / 3 } y ^ { 1 / 3 } \right) \left( - 8 x ^ { 1 / 4 } y ^ { - 1 / 6 } \right)$$

• A) \(\frac { - 16 } { x ^ { 1 / 12 } y ^ { 1 / 18 } }\)
• B) \(\frac { 16 x ^ { 1 / 12 } } { y ^ { 1 / 6 } }\)
• C) \(\frac { - 16 y ^ { 1 / 6 } } { x ^ { 1 / 12 } }\)
• D) \(\frac { - 6 } { x ^ { 1 / 12 } y ^ { 1 / 18 } }\)

---

Definitions:

Theory Of Mind

The ability to attribute mental states—beliefs, intents, desires, emotions, knowledge—to oneself and others and to understand that others have beliefs, desires, and intentions that are different from one's own.

Children's Understanding

Refers to the developmental process by which children come to comprehend their environment, concepts, and languages through experience, education, and cognitive development.

Mental States

Conditions or states of the mind, including thoughts, feelings, beliefs, and attitudes.

Zone Of Proximal Development

A concept in developmental psychology introduced by Vygotsky, referring to the difference between what a learner can do without help and what they can achieve with guidance and encouragement from a skilled partner.