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To solve the expression \( 7 + 3 \times 7 + 9 \times 2^2 \), follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. **Exponentiation**: 
   \[
   2^2 = 4
   \]

2. **Multiplication**:
   \[
   3 \times 7 = 21
   \]
   \[
   9 \times 4 = 36
   \]

3. **Addition**:
   \[
   7 + 21 + 36 = 64
   \]

So, the value of the expression is \( \boxed{64} \).

Would you like further details or have any questions?

Here are 5 related questions to explore:

1. What happens if you change the exponent in the expression \(2^2\) to \(2^3\)?
2. How would the result change if the multiplication and addition were rearranged without parentheses?
3. Can you express \(7 + 3 \times 7 + 9 \times 2^2\) using only addition and subtraction?
4. How does the order of operations affect the outcome in this type of expression?
5. What if the expression included a division operation as well?

**Tip:** Always handle exponentiation before performing multiplication or division to ensure accurate results.

What is the value of the expression 7 + 3 × 7 + 9 × 2^2?

Find out how to solve the expression 7 + 3 × 7 + 9 × 2^2 by following the order of operations (PEMDAS/BODMAS). This step-by-step guide covers key concepts like exponentiation, multiplication, and addition. Suitable for students in Grades 6-8.

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