Many students are stuck when they see something like for example. They are unsure what tto do and some of them attempt to rationalise it.
Here’s a little tip to resolving all such questions. 🙂
Given for
can be anything, fractional or integer, we simply factorise
from the expression. Notice that
so using simple indices, this gives
Our objective of doing this is to have . Now notice that this is a very familiar form, its
form which gives us
for this case! Isn’t that convenient!
After some manipulation, we find the following result. In the event, have a fraction like one above, we still start with the same method. Hope this helps!