Question

How to solve this in simplified form.

Answer 1

When multiplying exponents, add them
e^10*e^-2=e^(10-2)=e^8

Answer 2

I think you are aware of the power rules

I attached charts that would help you



For your case:
$\Large e^{10}*e^{-2}=e^{(10)+(-2)}=e^{10-2}=e^8$

I hope that helps!