Let's solve the expression \(\frac{6^2 - 3^3}{7}\).

1. First, calculate \(6^2\):
   \[
   6^2 = 36
   \]

2. Then, calculate \(3^3\):
   \[
   3^3 = 27
   \]

3. Subtract \(3^3\) from \(6^2\):
   \[
   36 - 27 = 9
   \]

4. Finally, divide the result by 7:
   \[
   \frac{9}{7} = 1.2857 \ldots
   \]

The result of the expression \(\frac{6^2 - 3^3}{7}\) is approximately **1.29**.

Would you like any further details or have any questions?

Here are 5 related questions:
1. What is the value of \((7^2 - 4^3) / 5\)?
2. How would the result change if the numerator was \(6^3 - 3^2\)?
3. What is the value of \((8^2 + 2^3) / 10\)?
4. How does the order of operations affect the expression \(\frac{6^2 - 3^3}{7}\)?
5. What happens if you reverse the subtraction in the numerator?

**Tip:** Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) when solving expressions to get the correct result.

Learn how to solve the arithmetic expression (6^2 - 3^3) / 7 step-by-step with a detailed explanation. This problem covers arithmetic operations with exponents and fractions. Suitable for students in Grades 5-6.

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