Simplify Write the Answer Using Positive Exponents Only $\left( 8 a ^ { - 3 } b ^ { 3 } \right) ^ { - 3 } \left( 2 a b ^ { - 3 } \right) ^ { 3 }$

question 316

Multiple Choice

Simplify. Write the answer using positive exponents only.
- $\left( 8 a ^ { - 3 } b ^ { 3 } \right) ^ { - 3 } \left( 2 a b ^ { - 3 } \right) ^ { 3 }$

• A) \(\frac { 4 a ^ { 12 } } { b ^ { 18 } }\)
• B) \(\frac { a ^ { 6 } } { 64 b ^ { 18 } }\)
• C) \(\frac { a ^ { 12 } b ^ { 18 } } { 64 }\)
• D) \(\frac { a ^ { 12 } } { 64 b ^ { 18 } }\)

---

Definitions:

Object Permanence

The understanding that objects continue to exist even when they cannot be seen, heard, or otherwise sensed, typically developed in infancy.

Formal Operational

A stage in Piaget's theory of cognitive development where individuals learn to think abstractly, reason logically, and plan strategically.

Sociocultural Cognitive Theory

A theory that emphasizes the impact of social interaction, culture, and language on cognitive development.

Cognitive Development

Cognitive Development is the study of how thinking, problem solving, and intelligence evolve from childhood to adulthood.