Powers
The idea of multiplication is just to simplify the marking of a sum. For example,
is much easier to read in the form of . The powers have exactly the same idea: .
Example 1. Let us study the case . We can rewrite the expression in the form of
or in the form
As both are forms of the same original expression, we can say that
Example 2. How about ?
.
The power in the last term is exactly same as the product of the powers in the original expression.
The formulas of powers are expressed as
Based on these formulas, .
Example 3.
The same with parameters:
Example 4.
Problem 1. Can you explain with words, why ?