Find the product. $\left( \frac { 7 } { 8 } x ^ { 5 } y ^ { 4 } \right) \left( - x ^ { 4 } y \right)$
A) $- \frac { 7 } { 8 } x ^ { 20 } y ^ { 4 }$
B) $- \frac { 15 } { 8 } x ^ { 9 } y ^ { 4 }$
C) $- \frac { 7 } { 8 } x ^ { 9 } y ^ { 5 }$
D) $- \frac { 7 } { 8 } x ^ { 9 } y ^ { 4 }$
E) $- \frac { 15 } { 8 } x ^ { 20 } y ^ { 5 }$

Question

Quizplus · Accepted Answer

When multiplying two expressions, you multiply the coefficients and add the exponents of like bases. Here, $ \frac{7}{8} \times -1 = -\frac{7}{8} $, $x^{5} \times x^{4} = x^{5+4} = x^{9}$, and $y^{4} \times y = y^{4+1} = y^{5}$, resulting in $-\frac{7}{8}x^{9}y^{5}$.

Find the Product (78x5y4)(−x4y)\left( \frac { 7 } { 8 } x ^ { 5 } y ^ { 4 } \right) \left( - x ^ { 4 } y \right)(87​x5y4)(−x4y)

Find the Product $\left( \frac { 7 } { 8 } x ^ { 5 } y ^ { 4 } \right) \left( - x ^ { 4 } y \right)$