If `**` means adding 6 times the second number to the first number then `(1**2) **3` equals :

Options

A. 121
B. 31
C. 93
D. 91

Answer

To solve the problem `(1 ** 2) ** 3`, where `**` means adding 6 times the second number to the first number, we can follow these steps:

### Step 1: Evaluate the first operation `1 ** 2`
- According to the definition, `1 ** 2` means we take the first number (1) and add 6 times the second number (2) to it.

\[ 1 ** 2 = 1 + 6 \times 2 \]

### Step 2: Calculate `6 * 2`
- Now, calculate \(6 \times 2\):

\[ 6 \times 2 = 12 \]

### Step 3: Add the result to the first number
- Now, add this result to the first number:

\[ 1 + 12 = 13 \]

### Step 4: Now evaluate the second operation `13 ** 3`
- Now we need to evaluate `13 ** 3`. Again, using the definition, this means we take the first number (13) and add 6 times the second number (3) to it.

\[ 13 ** 3 = 13 + 6 \times 3 \]

### Step 5: Calculate `6 * 3`
- Calculate \(6 \times 3\):

\[ 6 \times 3 = 18 \]

### Step 6: Add the result to the first number
- Now, add this result to the first number:

\[ 13 + 18 = 31 \]

### Final Answer
Thus, the value of `(1 ** 2) ** 3` is:

\[ \boxed{31} \]