Answer:
Option A - [tex]\frac{5E(-9)}{2E(4)}=2.5E(-13)[/tex]
Step-by-step explanation:
Given : Samuel entered the following key strokes on his calculator [tex]\frac{5E(-9)}{2E(4)}[/tex]
To find : What did Samuel’s calculator display?
Solution :
Expression,
[tex]\frac{5E(-9)}{2E(4)}[/tex]
We know that, E means 10 to the power
So, Converting scientific notation into standard form
[tex]=\frac{5\times 10^{-9}}{2\times 10^{4}}[/tex]
Solve the division,
[tex]=\frac{5}{2}\times 10^{-9-4}[/tex]
[tex]=2.5\times 10^{-13}[/tex]
Converting standard into scientific,
[tex]=2.5E(-13)[/tex]
Therefore, [tex]\frac{5E(-9)}{2E(4)}=2.5E(-13)[/tex]
So, Option A is correct.
