Question

formula 1 point
the moon of planet zuuq is 3.14*10^69 km away from earth. how long would it take to get there if we traveled at 50% the speed of light. a light year is 9.46 × 10^12 km? be sure to display your answer in scientific notation and do not include the word years. use asterisk in place of 10 when typing your scientific notation. also, be sure to use \^\ to declare a number as an exponent.
answer

Explanation:

Step1: Convert distance to light-years

First, divide the distance to Ziuq's moon by the number of kilometers in 1 light-year to get the distance in light-years.
$\frac{3.14*10^{69}}{9.46*10^{12}} = \frac{3.14}{9.46}*10^{69-12} \approx 0.3319*10^{57} = 3.319*10^{56}$ light-years

Step2: Adjust for 50% light speed

Since we travel at 50% (0.5) the speed of light, the time taken is the distance in light-years divided by 0.5.
$\frac{3.319*10^{56}}{0.5} = 6.638*10^{56}$

Answer:

6.64*10^56