Question

the distance from betelgeuse to earth is known to be between 400 and 700 light years. how many meters is 400 light years? what is 400×(9×10^15)? drag and drop each of my steps in order to help us write an estimate in scientific notation, then click done. remember that light travels at a speed of 9.460730473×10^15 meters per year.

Explanation:

Step1: Rearrange multiplication

$(400\times9)\times 10^{15}$

Step2: Calculate 400×9

$3600\times 10^{15}$

Step3: Rewrite 3600 in scientific - notation

$(3.6\times 10^{3})\times 10^{15}$

Step4: Use exponent rule $a^m\times a^n=a^{m + n}$

$3.6\times(10^{3}\times 10^{15})=3.6\times 10^{18}$

Answer:

$3.6\times 10^{18}$