Simplify:- 3^3 * 10^3 / 15 = ?

Options

A. a. 1600
B. b. 1500
C. c. 1800
D. d. 2000

Answer

To simplify the expression \( \frac{3^3 \times 10^3}{15} \), we can follow these steps:

### Step 1: Calculate \( 3^3 \) and \( 10^3 \)
First, we calculate \( 3^3 \) and \( 10^3 \):
- \( 3^3 = 3 \times 3 \times 3 = 27 \)
- \( 10^3 = 10 \times 10 \times 10 = 1000 \)

### Step 2: Substitute the values back into the expression
Now we substitute these values back into the expression:
\[ \frac{3^3 \times 10^3}{15} = \frac{27 \times 1000}{15} \]

### Step 3: Multiply the numerator
Next, we multiply the numbers in the numerator:
\[ 27 \times 1000 = 27000 \]

### Step 4: Divide by 15
Now we divide \( 27000 \) by \( 15 \):
\[ \frac{27000}{15} = 1800 \]

### Final Answer
Thus, the simplified result is:
\[ \boxed{1800} \]