Expand the number 480 into its corresponding exponential form.
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
Answer:
The answer is \(480=2^{5} *3*5\)
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:
\(480=2*240=2*2*120=2*2*2*60\\2*2*2*2*30=2*2*2*2*2*15\)
Now we use the number 3:
\(2*2*2*2*2*3*5\)
As we can see, we cannot break the number any more, so the exponential form will be:
\(480=2^{5} *3*5\)
The answer is \(480=2^{5} *3*5\)