The term 
, where 
is a natural number, is the shorter notation for the product of 
multiplied by number of times. The number is also called raised to the power of the number . The number is called the base, and the number is called the degree, powers or exponent.
The term 
for which is a natural number is the shorter notation for the number of times a given number has to be multiplied.
There are some properties of exponentiation.
The potency value 
with a negative integer exponent is:
For 
and 
it is
which is the inverse value of the number a.
The value of the power with any nonzero base and exponent 0 is 1:
A summary of the rules for calculating with powers (the rules are explained in more detail below) is summarized in the following table:
Multiplication and division of powers by the same bases
The rule for multiplying powers by the same basis is determined by first writing both powers as the product of the same factors.
Potentials with the same bases are multiplied by overwriting the base and adding the power exponents:
When dividing powers by the same bases, we act similarly as when multiplying.
Exponents with the same bases are divided by writing down the base and subtracting the exponents:
Multiplication and division of powers by equal exponents
The rule for multiplying powers by the same exponents is determined by first writing both powers as the product of the same factors, then multiplying the different factors and writing the result by the power.
Terms with the same exponents and different bases are multiplied by multiplying the bases and overwriting the exponent:
When dividing powers by the same exponents, we act similarly to multiplication.
Terms with the same exponents and different bases are divided by dividing the bases and overwriting the exponent:
Exponents of exponentials are gotten by overwriting the base and multiplying the potential exponents:
