A power (or exponent).
A product of repeated factors can be expressed as a base raised to an exponent, known as a power. For example, if a factor (a) is multiplied by itself (n) times, it can be written as (a^n). This notation simplifies the representation of multiplication, making it easier to work with large numbers of identical factors.
When expressing a number as a product of its prime factors as for example 2*2*2*2*2*2 = 64
The product of all of the factors of 12 is 1,728 .
22 x 52 x 19 = 1900
The product of all factors of the two numbers is 2097152.
Power
The Product will be Repeat..like they say it is a Repeated Addition
a-n = 1/an = (1/a) x .... x (1/a), this last product having n factors, each is 1/a
A product of repeated factors can be expressed as a base raised to an exponent, known as a power. For example, if a factor (a) is multiplied by itself (n) times, it can be written as (a^n). This notation simplifies the representation of multiplication, making it easier to work with large numbers of identical factors.
The repeated factor of 102 is 10.
18 has square factors, but no repeated ones.
how can exponent can make it easier to write an expression with a repeated factor in the product
When expressing a number as a product of its prime factors as for example 2*2*2*2*2*2 = 64
Numbers can be expresed in terms of their prime factors as for example:- As a product of its prime factors: 3*31*73 = 6789
2 to the power of 5 =32. the repeated factior is the base, or the number 2.
a perfect square
Exponents count the number of repeated factors. 2 x 2 x 2 x 3 x 3 = 72 2^3 x 3^2 = 72