we have
[tex](3.8*10^{8})*(6.9*10^{5})[/tex]
Combine like terms
[tex](3.8*10^{8})*(6.9*10^{5})=(3.8*6.9)*(10^{8}*10^{5})[/tex]
Multiply
[tex]=(26.22)*(10^{8+5})[/tex]
[tex]=(26.22)*(10^{13})[/tex]
[tex]=(2.622*10)*(10^{13})[/tex]
[tex]=(2.622)*(10^{13+1})[/tex]
[tex]=(2.622)*(10^{14})[/tex]
therefore
the answer is the option B
[tex](2.622)*(10^{14})[/tex]