Calculate the units digit of the following products :
`15^(37)`

Answer

To find the units digit of \( 15^{37} \), we can follow these steps:

### Step 1: Understand the units digit
The units digit of a number is the digit in the ones place. For example, in the number 225, the units digit is 5.

### Step 2: Calculate the units digit of \( 15^1 \)
Calculate:
\[ 15^1 = 15 \]
The units digit is **5**.

### Step 3: Calculate the units digit of \( 15^2 \)
Calculate:
\[ 15^2 = 15 \times 15 = 225 \]
The units digit is **5**.

### Step 4: Calculate the units digit of \( 15^3 \)
Calculate:
\[ 15^3 = 15 \times 15 \times 15 = 3375 \]
The units digit is **5**.

### Step 5: Identify the pattern
From the calculations above, we see that the units digit of \( 15^1 \), \( 15^2 \), and \( 15^3 \) is always **5**.

### Step 6: Generalize the observation
Since the units digit of \( 15^n \) for any natural number \( n \) is always **5**, we can conclude that:

\[ \text{Units digit of } 15^{37} = 5 \]

### Final Answer
Thus, the units digit of \( 15^{37} \) is **5**.

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