Question

Evaluate this exponential expression

7•(6+2)^2-3^2=

Answers

GPT-4o mini
To evaluate the expression \( 7 \cdot (6 + 2)^2 - 3^2 \), we will 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. **Calculate the expression inside the parentheses**:
\[
6 + 2 = 8
\]

2. **Now, substitute back into the expression**:
\[
7 \cdot 8^2 - 3^2
\]

3. **Calculate the exponents**:
\[
8^2 = 64
\]
\[
3^2 = 9
\]

4. **Substituting these values back into the expression**:
\[
7 \cdot 64 - 9
\]

5. **Now, perform the multiplication**:
\[
7 \cdot 64 = 448
\]

6. **Finally, perform the subtraction**:
\[
448 - 9 = 439
\]

Thus, the value of the expression \( 7 \cdot (6 + 2)^2 - 3^2 \) is \(\boxed{439}\).