Which is greater : `2^(3) "or" 3^(2)` ?

Answer

To determine which is greater between \(2^3\) and \(3^2\), we can follow these steps:

### Step 1: Calculate \(2^3\)
To calculate \(2^3\), we multiply 2 by itself three times:
\[ 2^3 = 2 \times 2 \times 2 \]
Calculating this:
\[ 2 \times 2 = 4 \]
Then,
\[ 4 \times 2 = 8 \]
So, \(2^3 = 8\).

### Step 2: Calculate \(3^2\)
Now, we calculate \(3^2\) by multiplying 3 by itself two times:
\[ 3^2 = 3 \times 3 \]
Calculating this:
\[ 3 \times 3 = 9 \]
So, \(3^2 = 9\).

### Step 3: Compare the two results
Now we compare the two results we obtained:
- \(2^3 = 8\)
- \(3^2 = 9\)

Since \(9\) is greater than \(8\), we conclude that:
\[ 3^2 > 2^3 \]

### Final Answer
Thus, \(3^2\) is greater than \(2^3\).

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