Simplify: `7^(2)xx2^(2)`

Answer

To simplify the expression \( 7^2 \times 2^2 \), we can follow these steps:

### Step 1: Write the expression with expanded powers
We start by expanding the powers:
\[ 7^2 = 7 \times 7 \]
\[ 2^2 = 2 \times 2 \]

### Step 2: Substitute the expanded forms into the expression
Now, we substitute the expanded forms back into the expression:
\[ 7^2 \times 2^2 = (7 \times 7) \times (2 \times 2) \]

### Step 3: Calculate the value of \( 7 \times 7 \)
Next, we calculate \( 7 \times 7 \):
\[ 7 \times 7 = 49 \]

### Step 4: Calculate the value of \( 2 \times 2 \)
Now, we calculate \( 2 \times 2 \):
\[ 2 \times 2 = 4 \]

### Step 5: Multiply the results from Step 3 and Step 4
Now we multiply the results from the previous steps:
\[ 49 \times 4 \]

### Step 6: Calculate \( 49 \times 4 \)
To find \( 49 \times 4 \):
\[ 49 \times 4 = 196 \]

### Final Result
Thus, the simplified value of \( 7^2 \times 2^2 \) is:
\[ \boxed{196} \]

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