The expression we have is:
[tex]\mleft(4\times10\times10\times10\times10\mright)+\mleft(6\times10\times10\mright)[/tex]To simplify this expression we need to express the multipications by 10 in powers of 10:
[tex]10\times10\times10\times10=10^4[/tex]The exponent represents the number of times we multiply 10 by itself. And also:
[tex]10\times10=10^2[/tex]We substitute this in the original expression:
[tex](4\times10^4)+(6\times10^2)[/tex]Now we can express the powers if 10 in their integer value:
[tex]10^4=10,000[/tex][tex]10^2=100[/tex](the exponent represents the number of zeros)
Substituting this we get:
[tex]\begin{gathered} (4\times10,000)+(6\times100) \\ 40,000+600 \\ 40,600 \end{gathered}[/tex]Answer: 40,600
