If `a**b=3a+4b`, then the value of `3**4` is……………

Answer

To solve the problem where \( a \star b = 3a + 4b \) and we need to find the value of \( 3 \star 4 \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the operation**: The operation defined is \( a \star b = 3a + 4b \). Here, \( a \) and \( b \) are any two numbers.

2. **Substitute the values**: We need to find \( 3 \star 4 \). In this case, \( a = 3 \) and \( b = 4 \).

3. **Apply the operation**: Substitute \( a \) and \( b \) into the operation:
\[ 3 \star 4 = 3(3) + 4(4) \]

4. **Calculate each term**:
- Calculate \( 3(3) \):
\[ 3(3) = 9 \]
- Calculate \( 4(4) \):
\[ 4(4) = 16 \]

5. **Add the results**:
\[ 3 \star 4 = 9 + 16 = 25 \]

6. **Final answer**: Therefore, the value of \( 3 \star 4 \) is \( 25 \).