Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
-$\left( \frac { x y ^ { 5 } } { x ^ { 6 } y } \right) ^ { - 2 }$
A) $\frac { y ^ { 8 } } { x ^ { 10 } }$
B) $\frac { x ^ { 10 } } { y ^ { 8 } }$
C) $\frac { 1 } { x ^ { 14 } y ^ { 12 } }$
D) $\frac { 1 } { x ^ { 8 } y ^ { 11 } }$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the parentheses: $\left( \frac { x y ^ { 5 } } { x ^ { 6 } y } \right) = x^{1-6}y^{5-1} = x^{-5}y^{4}$. Then, apply the negative exponent rule by taking the reciprocal and changing the sign of the exponent: $(x^{-5}y^{4})^{-2} = x^{10}y^{-8}$, which simplifies to $\frac { x ^ { 10 } } { y ^ { 8 } }$.

Simplify Express Your Answer with Positive Exponents (xy5x6y)−2\left( \frac { x y ^ { 5 } } { x ^ { 6 } y } \right) ^ { - 2 }(x6yxy5​)−2

Simplify Express Your Answer with Positive Exponents $\left( \frac { x y ^ { 5 } } { x ^ { 6 } y } \right) ^ { - 2 }$