Multiply. $$ 3 v^{6} \cdot 5 w \cdot 3 w^{5} v^{8} $$

Question

UpStudy AI · Accepted Answer

To multiply the expressions $$ 3 v^{6} $$, $$ 5 w $$, and $$ 3 w^{5} v^{8} $$, follow these steps:

1. **Multiply the coefficients:**
   $$
   3 \times 5 \times 3 = 45
   $$

2. **Combine the like terms for $$ v $$:**
   $$
   v^{6} \times v^{8} = v^{6+8} = v^{14}
   $$

3. **Combine the like terms for $$ w $$:**
   $$
   w \times w^{5} = w^{1+5} = w^{6}
   $$

Putting it all together:
$$
45 v^{14} w^{6}
$$

**Final Answer:**
$$
45\,v^{14}\,w^{6}
$$
Multiply the coefficients and combine the exponents for like variables: $$ 45 v^{14} w^{6} $$

Multiply. \[ 3 v^{6} \cdot 5 w \cdot 3 w^{5} v^{8} \]