1)) Find the product. Simplify your answer. $$ \left(-d^{4}\right)\left(2 d^{4}\right) $$

Question

UpStudy AI · Accepted Answer

To find the product $$ \left(-d^{4}\right)\left(2 d^{4}\right) $$ and simplify it, follow these steps:

1. **Multiply the coefficients:**
   
   $$
   -1 \times 2 = -2
   $$

2. **Multiply the like variables using the law of exponents** (when you multiply terms with the same base, you add their exponents):

$$
   d^{4} \times d^{4} = d^{4 + 4} = d^{8}
   $$

3. **Combine the results:**

$$
   -2 \times d^{8} = -2d^{8}
   $$

**Final Answer:**
$$
-2d^{8}
$$
The product simplifies to $$ -2d^{8} $$.

1)) Find the product. Simplify your answer. \( \left(-d^{4}\right)\left(2 d^{4}\right) \)