https://file.aiquickdraw.com/mathbot/file/1729140377927yzxwp1yw.jpg

The question asks for the result of the expression \( 4^2 \div 2^3 \times 3^2 \).

Let's break it down step-by-step:

### Step 1: Calculate each part of the expression
- \( 4^2 = 16 \)
- \( 2^3 = 8 \)
- \( 3^2 = 9 \)

### Step 2: Substitute these values back into the expression
\[
16 \div 8 \times 9
\]

### Step 3: Perform the division and multiplication from left to right
- \( 16 \div 8 = 2 \)
- \( 2 \times 9 = 18 \)

Thus, the result of the expression is **18**.

The correct answer is **E (18)**.

Would you like further details or have any questions?

Here are some related questions to explore:
1. What is the difference between evaluating powers and roots?
2. How would the expression change if one exponent were negative?
3. What if the division and multiplication were swapped in order?
4. How does the order of operations (PEMDAS) affect this problem?
5. What is the general rule for dividing exponents with the same base?

**Tip:** Always follow the order of operations (PEMDAS) when evaluating mixed expressions involving powers, multiplication, and division.

Solve the expression 4^2 ÷ 2^3 × 3^2 step-by-step. This problem teaches exponentiation, division, and multiplication, while reinforcing the order of operations (PEMDAS). Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation