What Is 7 Squared?
The keyword 7 squared refers to the square of 7, written as \(7^2\). In math algebra, squaring a number means multiplying the number by itself exactly two times.
Definition: For any number \(a\), the square \(a^2\) means \(a \cdot a\).
Step 1: Translate “7 squared” into exponent notation
\[ 7 \text{ squared} = 7^2 \]
Step 2: Use the meaning of the exponent
The exponent 2 indicates two factors of 7:
\[ 7^2 = 7 \cdot 7 \]
Step 3: Multiply
\[ 7 \cdot 7 = 49 \]
Result: \(\boxed{7^2 = 49}\).
Quick check (consistent interpretation)
Since \(7^2\) represents a square area with side length 7, the computed value should be a perfect square. The number 49 equals \(7 \cdot 7\), so the result matches the definition exactly.
Summary table
| Phrase | Notation | Meaning | Value |
|---|---|---|---|
| 7 squared | \(7^2\) | \(7 \cdot 7\) | \(49\) |
Visualization: Square model for 7² (no overlap)
Final answer
\[ 7^2 = 49 \]