Final answer:
The multiplication of the given expressions 7v^7x^4, 2x^3, and 3v results in a simplified answer of 42v^8x^7.
Step-by-step explanation:
To multiply the given expressions 7v7x4 * 2x3 * 3v, we need to multiply coefficients together and variables of the same base together while adding their exponents, as per the laws of exponents.
First, let's multiply the coefficients: 7 * 2 * 3 = 42.
Next, the variable 'v' with its exponents: v7 * v = v7+1 = v8.
Then, multiply the variable 'x' with its exponents: x4 * x3 = x4+3 = x7.
Putting it all together, we get the simplified answer: 42v8x7.