Simplify the exponential expression. Write the result using only positive exponents.
-$\left( \frac { x ^ { 3 } y ^ { 2 } } { x ^ { 4 } y ^ { - 3 } } \right) ^ { 2 }$
A) $\frac { y ^ { 10 } } { x ^ { 2 } }$
B) $\frac { y ^ { 7 } } { x ^ { 2 } }$
C) $\frac { y ^ { 25 } } { x }$
D) $\frac { y ^ { 25 } } { x ^ { 2 } }$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the parentheses: $\frac{x^3 y^2}{x^4 y^{-3}} = x^{-1} y^5$. Then, raise it to the power of 2: $(x^{-1} y^5)^2 = x^{-2} y^{10}$. Finally, write with positive exponents: $\frac{y^{10}}{x^2}$.

Simplify the Exponential Expression (x3y2x4y−3)2\left( \frac { x ^ { 3 } y ^ { 2 } } { x ^ { 4 } y ^ { - 3 } } \right) ^ { 2 }(x4y−3x3y2​)2

Simplify the Exponential Expression $\left( \frac { x ^ { 3 } y ^ { 2 } } { x ^ { 4 } y ^ { - 3 } } \right) ^ { 2 }$