Multiply. $$ \left(-2 x^{2} y^{2}\right)\left(8 x y^{4}\right)\left(-3 x^{4} y\right) $$

Question

UpStudy AI · Accepted Answer

To multiply the expressions $$ \left(-2 x^{2} y^{2}\right)\left(8 x y^{4}\right)\left(-3 x^{4} y\right) $$, follow these steps:

1. **Multiply the constants:**
   $$
   (-2) \times 8 \times (-3) = (-2 \times 8) \times (-3) = (-16) \times (-3) = 48
   $$

2. **Multiply the $$x$$ terms by adding their exponents:**
   $$
   x^{2} \times x \times x^{4} = x^{2+1+4} = x^{7}
   $$

3. **Multiply the $$y$$ terms by adding their exponents:**
   $$
   y^{2} \times y^{4} \times y = y^{2+4+1} = y^{7}
   $$

4. **Combine all parts:**
   $$
   48 \times x^{7} \times y^{7} = 48x^{7}y^{7}
   $$

**Final Answer:**
$$
48x^{7}y^{7}
$$
The product is $$48x^{7}y^{7}$$.

Multiply. \( \left(-2 x^{2} y^{2}\right)\left(8 x y^{4}\right)\left(-3 x^{4} y\right) \)