Answer: [tex]41.6\times10^2[/tex]
Step-by-step explanation:
The given expressions :[tex](5.2\cdot10^{-6})\ and\ (8\cdot10^3)[/tex]
Now, consider product : [tex](5.2\cdot10^{-6})\times (8\cdot10^3)[/tex]
Open parenthesis, we get
[tex]5.2\cdot10^{-6}\times 8\cdot10^3\\\\=5.2\times8\times10^{-6}\times10^{8}[/tex]
Using multiplication law of exponent with same base :
[tex]a^m\times a^n=a^{m+n}[/tex]
[tex]\Rightarrow5.2\times8\times10^{-6}\times10^{8}\\\\=41.6\times10^{-6+8}\\\\=41.6\times10^2[/tex]
Hence, the product of [tex](5.2\cdot10^{-6})\ and\ (8\cdot10^3)=41.6\times10^2[/tex]
