Respuesta :
You get it into its prime factors so
480 =48 x 10
10 = 2 x 5
48 = 8 x 6
8 = 2x 2 x 2
6 = 3 x 2
So the prime factors are:
2 x 2 x 2 x 2 x 2 x 3 x 5
= 2^5 x 3 x 5
480 =48 x 10
10 = 2 x 5
48 = 8 x 6
8 = 2x 2 x 2
6 = 3 x 2
So the prime factors are:
2 x 2 x 2 x 2 x 2 x 3 x 5
= 2^5 x 3 x 5
Answer:
The answer is [tex]480=2^{5} *3*5[/tex]
Step-by-step explanation:
In this case we have to get the exponential form of a number, this mean that we have to break down the number in the largest number of equal numbers, first we are going to use the number 2:
[tex]480=2*240=2*2*120=2*2*2*60\\2*2*2*2*30=2*2*2*2*2*15[/tex]
Now we use the number 3:
[tex]2*2*2*2*2*3*5[/tex]
As we can see, we cannot break the number any more, so the exponential form will be:
[tex]480=2^{5} *3*5[/tex]
The answer is [tex]480=2^{5} *3*5[/tex]