The quotient of 5.846 x 10^7 and 7.9 x 10^2 expressed in scientific notation is 7.4*10⁴.
Given numbers are:
[tex]5.846*10^7[/tex]
[tex]7.9*10^2[/tex]
What is scientific notation?
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
For example, 850,000,000 can be written in scientific notation as 8.5 ✕ 10^8.
So, [tex]\frac{5.846*10^7}{7.9*10^2}[/tex]
[tex]=\frac{5.846}{7.9} *\frac{10^7}{10^2}[/tex]
[tex]=0.74*\frac{10^7}{10^2}[/tex]
We know that [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
So, [tex]0.74*\frac{10^7}{10^2} = 0.74*10^5[/tex]
[tex]=7.4*10^4[/tex]
Hence, the quotient of 5.846 x 10^7 and 7.9 x 10^2 expressed in scientific notation is 7.4*10⁴.
To get more about scientific notation visit:
https://brainly.com/question/1767229
