 Hi, I am welcome to the session. I am Deepika here. Let's discuss a question which says simplify and express the following in exponential form 4 is to power 5 into a raise to power 8 b raise to power 3 over 4 is to power 5 into a raise to power 5 b square So let's start the solution Now we have to simplify 4 is to power 5 into a raise to power 8 bq over 4 is to power 5 into a raise to power 5 v square Now this can be written as 4 is to power 5 into a raise to power 8 into bq over 4 is to power 5 into a raise to power 5 into b square Now we know that a raise to power m divided by a raise to power m is equal to a raise to power m minus in So by using this law of exponent we have this is equal to 4 is to power 5 minus 5 into a raise to power 8 minus 5 into b raise to power 3 minus 2 And this is again equal to 4 is to power 0 into aq into b raise to power 1 or simply we can say b Now we know that For any integer That is for any non-zero integer a we have a raise to power 0 is equal to 1 So by using this law of exponents we have this is equal to 1 into aq into b And this is equal to a q b Hence the answer for the above question is a q b I hope the solution is clear to you. Bye and have a nice day