Answer :
A number is written in scientific notation if it is represented as a power of 10 times a decimal representation of a number, in the form:
[tex]a\cdot10^b[/tex]Notice that the number:
[tex]6.141873857\cdot20^{10}[/tex]May be rewritten using the laws of exponents as:
[tex]\begin{gathered} 6.141873857\cdot(20)^{10} \\ =6.141873857\cdot(2\cdot10)^{10} \\ =6.141873857\cdot2^{10}\cdot10^{10} \end{gathered}[/tex]Use a calculator to find the value of 6.141873857*2^10:
[tex]\begin{gathered} (6.141873857\cdot2^{10})\cdot10^{10} \\ =6289.27883\cdot10^{10} \end{gathered}[/tex]Move the decimal point three places to the left:
[tex]\begin{gathered} 6289.27883\cdot10^{10} \\ =6.28927883\cdot10^{13} \end{gathered}[/tex]Round the number up to 2 digits after the decimal:
[tex]6.29\cdot10^{13}[/tex]