To simplify the expression \((4.7x^4)(8x^7)\), follow these steps:

1. **Multiply the coefficients**:
   \(4.7 \times 8 = 37.6\)

2. **Multiply the variables**:
   \(x^4 \times x^7 = x^{4+7} = x^{11}\)

Thus, the simplified expression is:

\[
37.6x^{11}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you simplify other polynomial expressions with different exponents?
2. What is the general rule for multiplying powers with the same base?
3. How would you simplify \((3x^5)(5x^8)\)?
4. How do you handle multiplication when the bases of the variables differ?
5. How do you simplify an expression with multiple terms, such as \((2x^2 + 3x)(x^3)\)?

**Tip:** When multiplying terms with the same base, simply add the exponents.

This guide simplifies the polynomial expression (4.7x^4)(8x^7) using basic algebraic rules of exponents and multiplication. Learn how to multiply coefficients and add exponents in this step-by-step solution. Suitable for students in Grades 8-10.

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