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

question 180

Multiple Choice

Simplify the expression. Write the result using positive exponents only.
- $\left( x ^ { - 2 } y ^ { 5 } \right) ^ { - 2 }$

• A) \(\frac { y ^ { 3 } } { x ^ { - 4 } }\)
• B) \(\frac { x ^ { - 4 } } { y ^ { 3 } }\)
• C) \(\frac { 1 } { x ^ { 4 } y ^ { 10 } }\)
• D) \(\frac { x ^ { 4 } } { y ^ { 10 } }\)

---

Definitions:

Multisystemic Therapy

An intensive family- and community-based treatment program designed to address the complex needs of youths with behavioral problems.

Teen Violence

Aggressive, harmful, or violent behavior exhibited by adolescents towards others or themselves.

Criminal Activity

Behavior that violates laws and is punishable by the state, including felonies and misdemeanors.

Drug Abuse

The habitual taking of addictive or illegal drugs, leading to dependency and negative effects on health and social functioning.