https://file.aiquickdraw.com/mathbot/file/1727053380556dn022w36.jpg

The problem in the image asks to multiply \((6n^2)(8n^5)\). Let’s go through the steps to solve this:

### Step-by-Step Solution:

1. **Multiply the coefficients**: 
   - The coefficients are 6 and 8.
   - \(6 \times 8 = 48\).

2. **Apply the laws of exponents**: 
   - When multiplying powers of the same base (in this case, \(n^2\) and \(n^5\)), you add the exponents.
   - \(n^2 \times n^5 = n^{2+5} = n^7\).

### Final Answer:
\[
(6n^2)(8n^5) = 48n^7
\]

The correct answer is **C. 48n^7**.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you handle division of variables with exponents?
2. What is the rule when raising a power to another power?
3. How would you simplify \((3x^4)(5x^3)\)?
4. What happens when multiplying terms with different bases but the same exponents?
5. How can you simplify \((10m^3)(2m^4)\)?

**Tip**: Always remember to first handle the coefficients and then apply exponent rules when multiplying variables!

Solve the multiplication of (6n^2)(8n^5) using exponent rules. Learn how to multiply coefficients and add exponents in this algebraic problem. Suitable for students in Grades 7-9.

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