What is the product of the expression x, 5x, 5, x², 10x, 25, x², 10x, 25, x², 25, x², 25?

The expression given is: x, 5x, 5, x², 10x, 25, x², 10x, 25, x², 25, x², 25.

To find the product, we need to multiply all these terms together. Let’s break it down step-by-step:

First, combine all the coefficients (the numerical parts):
- 5 (from 5x) * 5 (constant) * 10 (from 10x) * 25 (constant) * 10 (from 10x) * 25 (constant) * 25 (constant) = 5 * 5 * 10 * 25 * 10 * 25 * 25
Next, add the exponents of x terms:
- 1 (from x) + 1 (from 5x) + 0 + 2 (from x²) + 1 (from 10x) + 0 + 2 (from x²) + 1 (from 10x) + 0 + 2 (from x²) + 0 + 2 (from x²) + 0 + 2 (from x²) = 1 + 1 + 2 + 1 + 2 + 2 + 2 = 12

So, we can rewrite our product:

Output = coefficient * x^exponent = (5 * 5 * 10 * 25 * 10 * 25 * 25) * x^{12}

To calculate the coefficient:

Thus, the final answer can be expressed as:

39062500 * x^12