Simplify the Expression $\left( \frac { a ^ { 2 } } { b ^ { 3 } } \right) ^ { - 5 }$

question 219

Multiple Choice

Simplify the expression. Assume that variables represent nonzero real numbers. Write the answer using positive exponents only. $\left( \frac { a ^ { 2 } } { b ^ { 3 } } \right) ^ { - 5 }$

• A) \(\frac { b ^ { 15 } } { a ^ { 10 } }\)
• B) \(- \frac { a ^ { 10 } } { b ^ { 15 } }\)
• C) \(\frac { a ^ { 10 } } { b ^ { 15 } }\)
• D) \(- \frac { a ^ { - 10 } } { b ^ { - 15 } }\)
• E) \(\frac { b ^ { 10 } } { a ^ { 15 } }\)

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