https://file.aiquickdraw.com/mathbot/file/1726335887296aj8gp7j2.jpg

I see the mathematical expression from the image is:

\[
\frac{25 \cdot 12^3}{60^2}
\]

Let's solve this step by step:

### Step 1: Calculate \(12^3\)
\[
12^3 = 12 \times 12 \times 12 = 1728
\]

### Step 2: Calculate \(60^2\)
\[
60^2 = 60 \times 60 = 3600
\]

### Step 3: Now substitute these values back into the expression:
\[
\frac{25 \cdot 1728}{3600}
\]

### Step 4: Simplify the numerator:
\[
25 \cdot 1728 = 43200
\]

### Step 5: Now divide:
\[
\frac{43200}{3600} = 12
\]

Thus, the result of the expression is:

\[
\boxed{12}
\]

Would you like further explanation or details? Here are five related questions to deepen your understanding:

1. How do exponents affect multiplication in a mathematical expression?
2. What are some common simplification techniques for fractions involving large numbers?
3. How would the expression change if you were to increase the base in the numerator's exponent?
4. How can you estimate the value of expressions like these without fully calculating each step?
5. How do you simplify complex fractions with both exponents and multiplication?

**Tip:** Always simplify powers and large multiplications before dividing in a fraction, as this reduces the complexity of the problem.

Solve the expression: (25 * 12^3) / (60^2)

Learn how to solve the mathematical expression (25 * 12^3) / (60^2) with a detailed solution. This problem focuses on exponentiation, multiplication, and simplifying fractions. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation