Certainly! Let's solve the problem step by step using the given prime factorization.
We are given the prime factorization of a number as [tex]\( 2^4 \times 5 \)[/tex].
1. First, let's calculate [tex]\( 2^4 \)[/tex]:
- [tex]\( 2^4 \)[/tex] means multiplying 2 by itself 4 times:
[tex]\[
2^4 = 2 \times 2 \times 2 \times 2
\][/tex]
- Doing the multiplication step by step:
[tex]\[
2 \times 2 = 4
\][/tex]
[tex]\[
4 \times 2 = 8
\][/tex]
[tex]\[
8 \times 2 = 16
\][/tex]
- So, [tex]\( 2^4 = 16 \)[/tex].
2. Next, we multiply the result by 5:
- We already have [tex]\( 2^4 = 16 \)[/tex].
- Now, let's multiply 16 by 5:
[tex]\[
16 \times 5 = 80
\][/tex]
Therefore, the number represented by the prime factorization [tex]\( 2^4 \times 5 \)[/tex] is [tex]\( 80 \)[/tex].
