light travels 1.8×10⁷ kilometers in one minute. how far does it travel in 7 minutes? write your answer in…

Explanation:

Step1: Identify the formula

Distance = speed×time. Here, speed is $1.8\times 10^{7}$ km/min and time is 7 min.

Step2: Calculate the distance

$(1.8\times 10^{7})\times7=(1.8\times7)\times10^{7}=12.6\times 10^{7}$.

Step3: Convert to proper scientific - notation

$12.6\times 10^{7}=1.26\times 10^{8}$ (since $12.6 = 1.26\times10^{1}$ and when multiplying powers of 10 with the same base, we add the exponents: $10^{1}\times10^{7}=10^{1 + 7}=10^{8}$).

Answer:

$1.26\times 10^{8}$