Simplify the Expression $\left( \frac { - 243 x ^ { 5 } } { y ^ { - 10 } } \right) ^ { \frac { 2 } { 5 } }$

question 10

Multiple Choice

Simplify the expression. $\left( \frac { - 243 x ^ { 5 } } { y ^ { - 10 } } \right) ^ { \frac { 2 } { 5 } }$

• A) \(- 3 x ^ { 2 } y ^ { 4 }\)
• B) \(- 9 x ^ { 2 } y ^ { 4 }\)
• C) \(9 x ^ { 2 } y ^ { 4 }\)
• D) \(3 x ^ { 2 } y ^ { 4 }\)
• E) \(- 9 x ^ { 4 } y ^ { 2 }\)

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Definitions:

African Americans

A racial or ethnic group in the United States with ancestry from black racial groups of Africa.

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A state located in the southeastern region of the United States, known for its significant contributions to American music and history.

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Schizophrenogenic Mothers

An outdated and discredited concept that posited mothers with cold, dominant, and rejecting personalities could cause schizophrenia in their children.