Evaluate :
`3b^(4)` when b=2

Answer

To evaluate the expression \( 3b^4 \) when \( b = 2 \), follow these steps:

### Step 1: Substitute the value of \( b \)
We start by substituting \( b \) with \( 2 \) in the expression \( 3b^4 \).

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

### Step 2: Calculate \( 2^4 \)
Next, we need to calculate \( 2^4 \). The exponent \( 4 \) means we multiply \( 2 \) by itself \( 4 \) times:

\[ 2^4 = 2 \times 2 \times 2 \times 2 \]

Calculating this step-by-step:
- First, \( 2 \times 2 = 4 \)
- Then, \( 4 \times 2 = 8 \)
- Finally, \( 8 \times 2 = 16 \)

So, \( 2^4 = 16 \).

### Step 3: Multiply by \( 3 \)
Now we substitute \( 16 \) back into the expression:

\[ 3(2^4) = 3 \times 16 \]

Now, we calculate \( 3 \times 16 \):

\[ 3 \times 16 = 48 \]

### Final Answer
Thus, the value of \( 3b^4 \) when \( b = 2 \) is:

\[ \boxed{48} \]

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