Can somebody please help me find other examples of notating this process Thank you?

Question

Explain the similarities between radicals and rational exponent notation.
Provide at least two other examples of mathematical notation or wording denoting the same process.

Answer 1

Radical signs, also known as surds, are an older notation, going back to the ancient Greeks.
Rational exponent notation is a newer notation, developed in the 16th century or therabouts, in connection with the work of Napier on logarithms and exponents.
Seems someone just asked this. http://answers.yahoo.com/question/index?qid=20070121145113AAcZAgQ&r=w&pa=AptqD2bwHTHf6OiPZKE0vAHUHxrceRmg5DrVlC5zHXcn1g--&paid=voted
Two other examples ...
That looks like a question to get you thinking about the process and come up with some show of understanding.
How about... square roots, cube roots, half power, logs, etc. Read the links cited and see what you can come up with.

Answer 2

sqrt(2) can be written as 2^(1/2)

sqrt(3) can be written as 3^(1/2)