Convert 8.0724×10−12 centimeters to kilometers. Express the answer to the exact decimal place. Note: 1 kilometer is equal to 100,000 centimeters. (1 point) Responses 8.0724×10−17 kilometers 8.0724 times 10 superscript negative 17 baseline kilometers 8.0724×10−14 kilometers 8.0724 times 10 superscript negative 14 baseline kilometers 8.0724×10−7 kilometers 8.0724 times 10 superscript negative 7 baseline kilometers 80.724×10−18 kilometers

1 answer

To convert \( 8.0724 \times 10^{-12} \) centimeters to kilometers, we use the conversion factor that 1 kilometer is equal to 100,000 centimeters.

1 kilometer = \( 10^5 \) centimeters.

To convert centimeters to kilometers, we divide the value in centimeters by \( 10^5 \):

\[ \text{kilometers} = \frac{8.0724 \times 10^{-12} \text{ cm}}{10^5 \text{ cm/km}} \]

This simplifies to:

\[ \text{kilometers} = 8.0724 \times 10^{-12} \div 10^5 = 8.0724 \times 10^{-12 - 5} = 8.0724 \times 10^{-17} \]

Thus, the final answer is:

\[ \boxed{8.0724 \times 10^{-17}} \text{ kilometers} \]