Raise the product of 36 and 9 to the power of the sum of 2 and 4.

Which of the following expressions matches the sentence above?
  A. 
(36 × 9)(2 × 4)
  B. 
(36 ÷ 9)(2 + 4)
  C. 
(36 ÷ 9)2 + 4
  D. 
(36 × 9)(2 + 4)

The sentence "Raise the product of 36 and 9 to the power of the sum of 2 and 4" can be translated into a mathematical expression.

Here's a step-by-step breakdown:

1. **Product of 36 and 9**: This is \( 36 \times 9 \).
2. **Sum of 2 and 4**: This is \( 2 + 4 \).
3. **Raise the product to the power of the sum**: This means we take \( (36 \times 9) \) and raise it to the power of \( (2 + 4) \).

So, the expression that matches this is:

\[
(36 \times 9)^{(2 + 4)}
\]

Among the given options, the correct match is:

**D. \((36 × 9)^{(2 + 4)}\)**

### Do you have any questions or would you like further details?

### Related Questions:
1. What is the value of \( (36 \times 9)^{(2 + 4)} \)?
2. How do you simplify powers in an expression?
3. What is the importance of order of operations in solving such problems?
4. Can you explain how to break down complex expressions step by step?
5. What are some common mistakes when interpreting mathematical expressions?

### Tip: 
Always carefully interpret mathematical expressions step-by-step, focusing on the exact wording to avoid misinterpretation.

Raise the product of 36 and 9 to the power of the sum of 2 and 4.

Which of the following expressions matches the sentence above?
A. (36 × 9)(2 × 4)
B. (36 ÷ 9)(2 + 4)
C. (36 ÷ 9)2 + 4
D. (36 × 9)(2 + 4)

Discover how to solve the problem of raising the product of 36 and 9 to the power of the sum of 2 and 4. This example walks through key algebraic concepts, including exponentiation and order of operations. Suitable for students in Grades 6-8.

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