In general, when a binomial is raised to a positive integer power we have:

In mathematics, a prime power is a positive integer power of a single prime number.

Beginning with the 1000 pengő note, only denominations of integer powers of ten were used.

It is used for quickly working out large integer powers of a number.

The length of a dyadic interval is always an integer power of two.

On the other hand, when you divide by a number that is NOT an integer power of 2, you are changing the bit pattern.

The first non-trivial integer power of two case is for 8 points:

In this case the notation eventually resolves to being the leftmost number raised to some (usually enormous) integer power.

During stage 2, the program might need lots of integer power.

This is equivalent to saying that the elements in one row of Pascal's triangle always add up to two raised to an integer power.