Convert 8.0724×10−^12

Question

centimeters to kilometers. Express the answer to the exact decimal place.

Note: 1 kilometer is equal to 100,000 centimeters.

(1 point)
Responses

8.0724×10−14
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
80.724 times 10 superscript negative 18 baseline kilometers

8.0724×10^−17
kilometers

Answer 1

To convert \( 8.0724 \times 10^{-12} \) centimeters to kilometers, we need to use the conversion factor that \( 1 \) kilometer is equal to \( 100,000 \) centimeters, or \( 1 \) kilometer = \( 1 \times 10^5 \) centimeters.

To convert from centimeters to kilometers, we can divide the number of centimeters by \( 100,000 \) (or multiply by \( 10^{-5} \)):

\[ 8.0724 \times 10^{-12} \text{ cm} \times \frac{1 \text{ km}}{100,000 \text{ cm}} = 8.0724 \times 10^{-12} \text{ cm} \times 10^{-5} \text{ km/cm} \]

\[ = 8.0724 \times 10^{-12 - 5} \text{ km} \]

\[ = 8.0724 \times 10^{-17} \text{ km} \]

Thus, the answer is:

8.0724×10^-17 kilometers (or 8.0724 times 10 superscript negative 17 baseline kilometers).