Number 99 101 Form

Instructions and help about Number 99 101

hello in this video we are going to compare which one is greater between 100 to the power of 100 or 101 to the power of 99 so we have solution then let's recall that 101 is simply equals to 100. times 1.01 if you multiply this you are going to have 101. so therefore 101 to the power of 99 is simply equals to 100 to the power of 99 times 1.01 to the power of 99. and also let me continue here 100 to the power of 100 is simply equals to 100 to the pro 99 times 100 if you recall this identity a to the power of n times a is simply equals to A to the power of n plus 1 because this to the power of one so if you add this you're going to have this this if you attach one to this we are going to have 100 back so therefore we have this and we have this now recall that we have 100 trip of 99 here and we have 103.99 here so you agree with me that 1.01 to the power of 99 is less than 100. this is what we are going to use to establish if this is greater than this or this is greater than this now we ha