(a n) m = a (m n), m a n times.

(a n) (1/m) = a (n/m), 1/m A n times.

2. Product power:

(a b) n = a n b n

m^a n^b)^c=m^(a n^(b

2. Power with the same base: Since the base is the same, the indexes can be added.

a^m a^n=a^(m+n)

Extended data

"Force" in mathematics is an extension of the literal meaning of "force", which originally refers to covering things with cloth towels. In mathematics, "power" is the result of power, and the expression of power is realized by adding a mark to a number, so it is like "putting a headscarf on a number", which means upgrading in reality, so it is just right to use mathematics to call the power of power.

Power does not conform to the associative law and commutative law. Because the power of ten is easy to calculate, just add zero after it, so scientific notation simplifies the way of recording numbers; The power of two is very useful in computer science.