Answer:
[tex]10^{24}=1000,000,000,000,000,000,000,000[/tex] stars.
Step-by-step explanation:
We have been given that a particular galaxy has a total mass of [tex]10^{58}[/tex] grams and the average star in that galaxy has a mass of [tex]10^{34}[/tex] grams. We are asked to find the number of stats in the galaxy.
To find the number of stats in the given galaxy, we will divide total mass of galaxy by mass of an average star in the galaxy as:
[tex]\text{The number of stats in the given galaxy}=\frac{10^{58}}{10^{34}}[/tex]
Using exponent property [tex]\frac{a^m}{a^n}=a^{m-n}[/tex], we will get:
[tex]\text{The number of stats in the given galaxy}=10^{58-34}\\\\\text{The number of stats in the given galaxy}=10^{24}\\\\\text{The number of stats in the given galaxy}=1000,000,000,000,000,000,000,000[/tex]
Therefore, there are approximately 1000,000,000,000,000,000,000,000 stars in the given galaxy.
