Perform the Indicated Operations $$\frac { 42 a ^ { - 2 } b ^ { 4 } } { 6 a ^ { - 8 } b ^ { 7 } }$$

question 214

Multiple Choice

Perform the indicated operations. Write the result using only positive exponents. Assume all variables represent nonzero
real numbers.
- $$\frac { 42 a ^ { - 2 } b ^ { 4 } } { 6 a ^ { - 8 } b ^ { 7 } }$$

• A) \(\frac { 7 a ^ { 6 } } { b ^ { 3 } }\)
• B) \(- \frac { a ^ { 5 } } { 7 b ^ { 4 } }\)
• C) \(- 7 a b ^ { 2 }\)
• D) \(\frac { 7 b ^ { 4 } } { a ^ { 6 } }\)

---

Definitions:

Empathy

The capacity to understand or feel what another being is experiencing from within their frame of reference, essentially placing oneself in another's position.

Three-mountain Task

A cognitive development assessment where children are asked to choose pictures that represent different perspectives of a model mountain range, testing their ability to understand and differentiate viewpoints.

Egocentrism

The cognitive inability to understand or assume any perspective other than one's own, commonly seen in early childhood development.

Piaget

Swiss psychologist known for his pioneering work in child development and his theory of cognitive development explaining how children acquire knowledge.