Index Notation is a simple area of maths and is not just part of algebra. If you have multiple of the same numbers multiplying by each other and the question asks you to put it in index form you don't solve it but what you do is you put the number (Base Number) and the small number to the top right (Power Number*). Here is an example below
2 x 2 x 2 =
if you see multiple of the same numbers and multiple of another number also like below and you are required to put them in index form DO NOT MIX THEM as this is incorrect.
3 x 3 x 3 x 5 x 5 x 5 x 5 x 5 = 3 x 3 x 3 = ; 5 x 5 x 5 x 5 x 5 =
therefore: 3 x 3 x 3 x 5 x 5 x 5 x 5 x 5 = x
Now we understand the basics of it lets use it in algebra. When beginners hear algebra get involved they think it is very complicated but it is not if you use the same thing as you did before.
a x a x a x b x b x b x b x b = x
More Coming Soon! This will be a question soon but until i have put all the info i am saving it as a draft as a conversation. ETP-5 days
(Note this should not be taken as an official guide and it is recommended you still study further.)