the distance from betelgeuse to earth is known to be between 400 and 700 light - years. how many meters is…

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.

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.

Answer

Explanation:

Step1: Rewrite 400 as 4×100

$(4\times100)\times(9\times 10^{15})$

Step2: Calculate 4×9 and keep the powers of 10

$(4\times9)\times(100\times 10^{15})=(36)\times(10^{2}\times 10^{15})$

Step3: Use the rule of exponents $a^m\times a^n=a^{m + n}$

$36\times10^{2 + 15}=36\times10^{17}$

Step4: Rewrite 36 in scientific - notation

$(3.6\times10^{1})\times10^{17}$

Step5: Use the rule of exponents again

$3.6\times(10^{1}\times10^{17}) = 3.6\times10^{18}$

Answer:

$3.6\times10^{18}$