We have been given an expression [tex](8.5\times 10^3)(2\times 10^5)[/tex]. We are asked to find the solution to our given expression expressed as scientific notation.
Let us simplify our given expression.
Using exponent property [tex]a^m\cdot a^n=a^{m+n}[/tex], we will get:
[tex]8.5\times 2\times 10^3\times 10^5[/tex]
[tex]17\times 10^{3+5}[/tex]
[tex]17\times 10^{8}[/tex]
Now to write our answer in scientific notation, we need our 1st multiple between 1 and 10. So we will rewrite our expression as:
[tex]1.7\times 10\times 10^{8}[/tex]
[tex]1.7\times 10^{1+8}[/tex]
[tex]1.7\times 10^{9}[/tex]
Therefore, our required solution would be [tex]1.7\times 10^{9}[/tex].