Answer:
[tex]4.2*10^{-5}[/tex] meters
Step-by-step explanation:
When multiplying 2 numbers in scientific notation, we follow the rule shown below:
[tex](a*10^b)*(c*10^d)=((a*c)*10^{b+d})[/tex]
Let's multiply:
[tex](5*10^{-11})*(8.4*10^{5})=((5*8.4)*10^{-11+5})=42*10^{-6}[/tex]
We can't keep the number 42, we need to make it into 1 digit decimal, so we make it to 4.2. That will change the "-6" power to "-5". So finally we have:
4.2 * 10 ^ {-5}
or
[tex]4.2*10^{-5}[/tex] meters
