Power with the same base: a m a n = a (m+n), power: (a m) n = a mn, product power: (ab) m = a m b m, and power division with the same base: a m ÷ a n =.
More information is as follows:
When m is a decimal, m can be written as a/b (where a and b are integers), n m means n a and b times the root sign. When m is an imaginary number, we need to use Euler formula eiθ= cosθ+isθ, and then use logarithmic properties to solve it. The result of taking m of n as a power is called m power of n, also called m power of n.
Mathematics (Mathematics or maths, from the Greek word "Má thē ma"; Often abbreviated as "mathematics"), it is a discipline that studies concepts such as quantity, structure, change, space and information, and belongs to a formal science from a certain point of view. Mathematicians and philosophers have a series of views on the exact scope and definition of mathematics.
Mathematical language is also difficult for beginners. How to make these words have more accurate meanings than everyday language also puzzles beginners. Words such as open and domain have special meanings in mathematics.
Mathematical terms also include proper nouns such as embryo and integrability. However, these special symbols and proper nouns are used for a reason: mathematics needs accuracy more than everyday language. Mathematicians call this requirement for linguistic and logical accuracy "rigor".
Stiffness is a very important and basic part of mathematical proof. Mathematicians want their theorems to be derived from axioms through systematic reasoning. This is to avoid relying on unreliable intuition to get the wrong "theorem" or "proof", which has happened in many examples in history.
Mathematics originated from early human production activities. The ancient Babylonians had accumulated some mathematical knowledge, which could be applied to practical problems. Judging from mathematics itself, their mathematical knowledge is only obtained through observation and experience, and there is no comprehensive conclusion and proof, but we should fully affirm their contribution to mathematics.