Multiply. $$ \left(8 x^{2} y^{4}\right)\left(6 x y^{3}\right)\left(7 x^{4} y\right) $$

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To multiply the expressions $$ (8x^{2}y^{4}) $$, $$ (6xy^{3}) $$, and $$ (7x^{4}y) $$, follow these steps:

### Step 1: Multiply the Coefficients
Multiply the numerical coefficients together:
$$
8 \times 6 \times 7 = 336
$$

### Step 2: Multiply the $$ x $$-terms
When multiplying terms with the same base, add their exponents:
$$
x^{2} \times x^{1} \times x^{4} = x^{2+1+4} = x^{7}
$$

### Step 3: Multiply the $$ y $$-terms
Similarly, for the $$ y $$-terms:
$$
y^{4} \times y^{3} \times y^{1} = y^{4+3+1} = y^{8}
$$

### Final Answer
Combine the results from all the steps:
$$
(8x^{2}y^{4})(6xy^{3})(7x^{4}y) = 336x^{7}y^{8}
$$

So, the product of the three expressions is **$$ 336x^{7}y^{8} $$**.
The product is $$ 336x^{7}y^{8} $$.

Multiply. \( \left(8 x^{2} y^{4}\right)\left(6 x y^{3}\right)\left(7 x^{4} y\right) \)

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