Answer :
Answer:
[tex]5\times10^{-9}[/tex]Explanation:
Given the expression:
[tex]\mleft(5\times10^{-6}\mright)\mleft(1\times10^{-3}\mright)[/tex]First, open the brackets:
[tex]=5\times10^{-6}\times1\times10^{-3}[/tex]Next, rearrange to bring like terms together:
[tex]\begin{gathered} =5\times1\times10^{-6}\times10^{-3} \\ =5\times10^{-6}\times10^{-3} \end{gathered}[/tex]Finally, combine the powers of 10 using the addition law of indices:
[tex]\begin{gathered} =5\times10^{-6+(-3)} \\ =5\times10^{-6-3} \\ =5\times10^{-9}\text{ (in scientific notation)} \end{gathered}[/tex]