Answer: [tex]2.635\times10^{-5}[/tex]
Step-by-step explanation:
The given expression : [tex]3.1\times10^{-4}\times8.5\times10^{-2}[/tex]
To solve it , we first combine decimal numbers together, we get
[tex]3.1\times10^{-4}\times8.5\times10^{-2}= 3.1\times8.5\times10^{-4}\times10^{-2}[/tex]
[tex]=26.35\times10^{-4+(-2)}\ \ [\because\ a^n\times a^n=a^{m+n}][/tex]
[tex]=26.35\times10^{-4-2)}\ \ [\because\ (+)(-)=(-)][/tex]
[tex]=26.35\times10^{-(4+2))}\ \ [\because\ -a-b=-(a+b)][/tex]
[tex]=26.35\times10^{-6}\ \ [\because\ -a-b=-(a+b)][/tex]
[tex]=2.635\times10^{-6+1}[/tex] [∵In scientific notation the decimal number has only one number at the left-side of the decimal.]
[tex]2.635\times10^{-5}[/tex]
Hence, the answer is [tex]2.635\times10^{-5}[/tex]. [In scientific notation.]
