Powers are algebraic

expressions which are based
on the

idea of repeated

products of some

symbol with itself.

Example: the third power of **x** is **x^3 = x * x * x**.

This idea can be extended to fraction powers,
so that **x^(1/2)** is equal to that **y**
such that **y^2 = x**. Then more subtle trickery can be used to extend the idea of powers to irrational numbers.