Perform the indicated operations involving rational expressions. Match each expression with the corresponding answer.
-$- \frac { 7 x ^ { 3 } y ^ { 3 } } { 8 }$
A) $\frac { 3 x y } { 32 y ^ { 4 } } \cdot \frac { 4 x ^ { 3 } y } { - 21 x }$
B) $\frac { - 3 x y ^ { 4 } } { 4 y ^ { 2 } } \cdot \frac { 28 x ^ { 2 } y ^ { 3 } } { 24 y ^ { 2 } }$

Question

Perform the indicated operations involving rational expressions. Match each expression with the corresponding answer.
-$- \frac { 7 x ^ { 3 } y ^ { 3 } } { 8 }$ 
A) $\frac { 3 x y } { 32 y ^ { 4 } } \cdot \frac { 4 x ^ { 3 } y } { - 21 x }$ 
B) $\frac { - 3 x y ^ { 4 } } { 4 y ^ { 2 } } \cdot \frac { 28 x ^ { 2 } y ^ { 3 } } { 24 y ^ { 2 } }$

Quizplus · Accepted Answer

To multiply two rational expressions, we multiply the numerators and denominators separately.

For A, the numerators will simplify to $12x^4y^2$ and $-28x^3y^2$, and the denominators will simplify to $-672x^2y^5$ and $32y^5$.

For B, the numerators will simplify to $-84x^3y^7$ and the denominators will simplify to $96y^4$.

B is the only answer choice that simplifies further and does not contain negative exponents.

Perform the Indicated Operations Involving Rational Expressions −7x3y38- \frac { 7 x ^ { 3 } y ^ { 3 } } { 8 }−87x3y3​

Perform the Indicated Operations Involving Rational Expressions $- \frac { 7 x ^ { 3 } y ^ { 3 } } { 8 }$