Answer:
3.762 x 10^-9
Explanation:
Given the expression:
[tex]\mleft(4.18\times10^{-4}\mright)\mleft(9\times10^{-4}\mright)[/tex]First, we remove the brackets:
[tex]=4.18\times10^{-4}\times9\times10^{-4}[/tex]Next, we bring the powers of 10 together.
[tex]=4.18\times9\times10^{-4}\times10^{-4}[/tex]Next, we combine the powers of 10 by adding the exponents (since they are being multiplied).
[tex]\begin{gathered} =4.18\times9\times10^{-4+(-4)} \\ =37.62\times10^{-8} \end{gathered}[/tex]We then obtain our final result as follows:
[tex]\begin{gathered} =3.762\times10^{-1}\times10^{-8} \\ =3.762\times10^{-9} \end{gathered}[/tex]