Answer:- A) is the right answer.[tex]7\times10^{10}[/tex] is 50 times larger than [tex]13\times10^{8}[/tex]
Explanation:-
To estimate the number of times [tex]7\times10^{10}[/tex] is larger than [tex]13\times10^{8}[/tex]
Let [tex]7\times10^{10}[/tex] is larger than [tex]13\times10^{8}[/tex] by n times.
then [tex]7\times10^{10}[/tex] [tex]=n\times13\times10^{8}[/tex]
[tex]\Rightarrow\ n=\frac{7\times10^{10}}{13\times10^{8}}\\\\\Rightarrow\ n=\frac{7\times10^{10-8}}{13}.......[by\ law\ of\ exponents\ \frac{a^m}{a^n}=a^{m-n}]\\\\\Rightarrow\ n=\frac{7\times10^2}{13}\\\\\Rightarrow\ n=\frac{7\times100}{13}\\\\\Rightarrow\ n=\frac{700}{13}=53.84\approx50[/tex]
[as 53.84 is near to 50 by rounding off it to the nearest ten it becomes 50]
Thus [tex]7\times10^{10}[/tex] is 50 times larger than [tex]13\times10^{8}[/tex]
