0.12244898 is the value obtained when solving the given.
Explanation:
Given:
3 times 10 to the 8th power can be expressed in equation format as [tex]3 \times 10^{8}[/tex] (3 times symbolizes ‘multiplication’ then it is to the tenth power of 8)
2.45 times 10 to the 9th power can be expressed in equation format as [tex]2.45 \times 10^{9}[/tex] (2.45 times symbolizes ‘multiplication’, then it is to the tenth power of 9)
Asked to find the solution when dividing the above,
[tex]\frac{3 \times 10^{8}}{2.45 \times 10^{9}}=\frac{3}{2.45} \times 10^{8-9}[/tex]
When the tenth power of any value goes from denominator to numerator and vice-versa, presents in opposite sign to that it possess (like when ‘[tex]10^{9}[/tex] ' goes to numerator changed as ' [tex]10^{-9}[/tex] ').
Now by solving the above equation, we get
[tex]\frac{3}{2.45} \times 10^{8-9}=1.22 \times 10^{-1}=\frac{1.22}{10}=0.12244898[/tex]