In mathematics, a product is a number or a quantity obtained by multiplying two or more numbers together. For example: 5 × 4 = 20. Here, the number 20 is called the product of 5 and 4. The product of 6 and 4 will be 24, because 6 × 4 = 24.
Capital pi[change | edit source]
Properties[change | edit source]
- (n! means n factorial)
- because we multiply n by itself n times.
- where c is a constant.
From the above equation we can see that any number with an exponent can be represented by a product, though it normally is not desirable.
Unlike summation, the sums of two terms cannot be separated into different sums. That is,
This can be thought of in terms of polynomials: you normally cannot separate terms inside them before they are raised to an exponent!
Relation to Summation[change | edit source]
The product of powers with the same base can be written as an exponential of the sum of the powers' exponents: