Simplify the expression and write the answer without negative exponents.
-$\left( \frac { x y ^ { 4 } } { x ^ { 3 } y } \right) ^ { - 2 }$
A) $\frac { y ^ { 6 } } { x ^ { 4 } }$
B) $\frac { 1 } { x ^ { 8 } y ^ { 10 } }$
C) $\frac { 1 } { x ^ { 5 } y ^ { 9 } }$
D) $\frac { x ^ { 4 } } { y ^ { 6 } }$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the parentheses: $\left( \frac { x y ^ { 4 } } { x ^ { 3 } y } \right) = x^{1-3}y^{4-1} = x^{-2}y^{3}$. Then, apply the negative exponent rule: $(x^{-2}y^{3})^{-2} = x^{4}y^{-6}$. To write without negative exponents, it becomes $\frac { x ^ { 4 } } { y ^ { 6 } }$.

Simplify the Expression and Write the Answer Without Negative Exponents (xy4x3y)−2\left( \frac { x y ^ { 4 } } { x ^ { 3 } y } \right) ^ { - 2 }(x3yxy4​)−2

Simplify the Expression and Write the Answer Without Negative Exponents $\left( \frac { x y ^ { 4 } } { x ^ { 3 } y } \right) ^ { - 2 }$