Multiply. $$ 8 w^{6} \cdot 2 u \cdot 2 u^{2} w^{7} $$

Question

UpStudy AI · Accepted Answer

To multiply the expression:

$$ 8w^{6} \cdot 2u \cdot 2u^{2}w^{7} $$

**Step 1: Multiply the coefficients**

$$ 8 \times 2 \times 2 = 32 $$

**Step 2: Multiply the like variables by adding their exponents**

- For $$ w $$:

$$ w^{6} \times w^{7} = w^{6+7} = w^{13} $$

- For $$ u $$:

$$ u \times u^{2} = u^{1+2} = u^{3} $$

**Combine the results:**

$$ 32 \, u^{3} w^{13} $$

So, the final multiplied expression is:

$$ 32u^{3}w^{13} $$
$$ 32u^{3}w^{13} $$

Multiply.