Multiply the coefficients and the powers of 10 with each other:
[tex](3.8 \times 10^{-6}) \times (2.37 \times 10^{-3}) = (3.8\times2.37) \times (10^{-6} \times10^{-3})[/tex]
The numeric part simply yields
[tex] 3.8\times2.37 = 9.006 [/tex]
As for the powers of 10, you have to add the exponents, using the rule
[tex] a^b \times a^c = a^{b+c} [/tex]
So, we have
[tex] 10^{-6} \times10^{-3} = 10^{-6-3} = 10^{-9}[/tex]
So, the final answer is
[tex] 9.006\times 10^{-9} [/tex]
