The value of (0.00000729/0.00000027) is
A. 0.27
B. 0.027
C. 2.7
D. 27

Options

A. C
B. D
C. A
D. B

Answer

To solve the problem of finding the value of \( \frac{0.00000729}{0.00000027} \), we can follow these steps:

### Step 1: Write the numbers in scientific notation
Convert both numbers into scientific notation for easier calculation.
- \( 0.00000729 = 7.29 \times 10^{-6} \)
- \( 0.00000027 = 2.7 \times 10^{-7} \)

### Step 2: Set up the division
Now, we can rewrite the division using the scientific notation:
\[ \frac{0.00000729}{0.00000027} = \frac{7.29 \times 10^{-6}}{2.7 \times 10^{-7}} \]

### Step 3: Simplify the division
When dividing numbers in scientific notation, we divide the coefficients and subtract the exponents:
\[ \frac{7.29}{2.7} \times 10^{-6 - (-7)} = \frac{7.29}{2.7} \times 10^{-6 + 7} = \frac{7.29}{2.7} \times 10^{1} \]

### Step 4: Calculate the coefficient
Now, we calculate \( \frac{7.29}{2.7} \):
\[ \frac{7.29}{2.7} = 2.7 \]

### Step 5: Combine the results
Now, we can combine the results:
\[ 2.7 \times 10^{1} = 2.7 \times 10 = 27 \]

### Conclusion
Thus, the value of \( \frac{0.00000729}{0.00000027} \) is **27**.

### Final Answer
The correct option is **D. 27**.

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