Simplify.
-$$\frac { 5 x ^ { - 2 } + 3 y ^ { - 2 } } { x ^ { - 3 } y ^ { - 3 } }$$
A) $5 x y ^ { 3 } + 3 x ^ { 3 } y$
B) $8 x y$
C) $5 x + 3 y$
D) $5 x y ^ { 3 } - 3 x ^ { 3 } y$

Question

Quizplus · Accepted Answer

To simplify the given expression, we use the properties of exponents. The expression is $\frac { 5 x ^ { - 2 } + 3 y ^ { - 2 } } { x ^ { - 3 } y ^ { - 3 } }$. We can simplify each term by dividing, which means subtracting the exponents: $5x^{-2} \cdot x^3y^3 + 3y^{-2} \cdot x^3y^3$. This simplifies to $5xy^3 + 3x^3y$, which matches option A.

Simplify - 5x−2+3y−2x−3y−3\frac { 5 x ^ { - 2 } + 3 y ^ { - 2 } } { x ^ { - 3 } y ^ { - 3 } }x−3y−35x−2+3y−2​

Simplify
- $\frac { 5 x ^ { - 2 } + 3 y ^ { - 2 } } { x ^ { - 3 } y ^ { - 3 } }$