Simplify : `2^(4)xx3^2`

Answer

To simplify the expression \( 2^4 \times 3^2 \), we will follow these steps:

### Step 1: Expand the powers
We can expand \( 2^4 \) and \( 3^2 \) into their respective multiplications.

- \( 2^4 = 2 \times 2 \times 2 \times 2 \) (which means 2 multiplied by itself 4 times)
- \( 3^2 = 3 \times 3 \) (which means 3 multiplied by itself 2 times)

### Step 2: Write the full expression
Now, we can write the full expression by substituting the expanded forms:

\[ 2^4 \times 3^2 = (2 \times 2 \times 2 \times 2) \times (3 \times 3) \]

### Step 3: Combine the factors
Now we can combine all the factors together:

\[ = 2 \times 2 \times 2 \times 2 \times 3 \times 3 \]

### Step 4: Calculate the value
Next, we can calculate the value of the expression:

1. First, calculate \( 2^4 \):
\[ 2 \times 2 = 4 \]
\[ 4 \times 2 = 8 \]
\[ 8 \times 2 = 16 \]
So, \( 2^4 = 16 \).

2. Next, calculate \( 3^2 \):
\[ 3 \times 3 = 9 \]
So, \( 3^2 = 9 \).

3. Now, multiply the results of \( 2^4 \) and \( 3^2 \):
\[ 16 \times 9 \]

To calculate \( 16 \times 9 \):
- \( 16 \times 9 = 144 \)

### Final Result
Thus, the simplified value of \( 2^4 \times 3^2 \) is:

\[ \boxed{144} \]

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