Multiply.
​(66x squaredx2​)(77x Superscript 4x4​)
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Part 1
​(66x squaredx2​)(77x Superscript 4x4​)equals=enter your response here  ​(Simplify your​ answer.)

To multiply the given expression \((66x^2 \times 2)(77x^4 \times 4)\), let's break it down step by step:

1. **Multiply the coefficients**:
   \[
   66 \times 2 = 132
   \]
   \[
   77 \times 4 = 308
   \]

2. **Multiply the powers of \(x\)**:
   \[
   x^2 \times x^4 = x^{2+4} = x^6
   \]

3. **Combine the results**:
   \[
   (132)(308)x^6
   \]

Now, calculate \(132 \times 308\):
\[
132 \times 308 = 40656
\]

So the final expression is:
\[
40656x^6
\]

The simplified answer is \(40656x^6\).

Do you want details or have any questions? Here are 5 related questions:

1. How do you multiply powers with the same base?
2. What is the general rule for multiplying coefficients?
3. How do you handle multiplying different variables?
4. What are the steps to simplify a polynomial expression?
5. How do you calculate large multiplications like \(132 \times 308\)?

**Tip:** When multiplying powers of the same base, remember to add the exponents.

Learn how to multiply the polynomial expression (66x^2)(77x^4) step-by-step with detailed explanations. This problem involves multiplying polynomials and combining exponents. Suitable for Grades 9-12 students studying algebra and polynomial operations.

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