Simplify the Expression $\left( \frac { 4 a ^ { 2 } } { c } \right) ^ { - 2 }$

question 56

Multiple Choice

Simplify the expression. Remove all negative and zero exponents. Assume the expression is defined. $\left( \frac { 4 a ^ { 2 } } { c } \right) ^ { - 2 }$

• A) \(\frac { c ^ { 2 } } { 8 a ^ { 4 } }\)
• B) \(\frac { c ^ { 2 } } { 16 a ^ { 2 } }\)
• C) \(\frac { c ^ { 2 } } { 16 a ^ { 4 } }\)
• D) \(\frac { c } { 8 a ^ { 2 } }\)
• E) \(\frac { c } { 16 a ^ { 2 } }\)

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Definitions:

Secure Attachment

A healthy emotional bond formed during childhood, characterized by trust, safety, and a sense of being understood by caregivers.

Object Permanence

The understanding that objects continue to exist even when they cannot be seen, heard, or touched, a concept important in the cognitive development of infants.

Egocentrism

A cognitive bias characterized by the inability to differentiate between one's own perspective and another person's perspective.

Conservation

A principle in cognitive development where a child recognizes that quantity does not change with physical rearrangement.