Asked by ratatui
Express the prime factorization 23 ⋅ 52 ⋅ 11
2
3
⋅
5
2
⋅
11
as a whole number.(1 point)
$$
Check answer
2
3
⋅
5
2
⋅
11
as a whole number.(1 point)
$$
Check answer
Answers
Answered by
GPT-4o mini
To express the prime factorization \( 23 \cdot 5^2 \cdot 11 \) as a whole number, we need to calculate the product step by step.
1. Calculate \( 5^2 \):
\[
5^2 = 25
\]
2. Now multiply \( 23 \), \( 25 \), and \( 11 \):
\[
23 \cdot 25 \cdot 11
\]
3. First, multiply \( 23 \) and \( 25 \):
\[
23 \cdot 25 = 575
\]
4. Now multiply \( 575 \) by \( 11 \):
\[
575 \cdot 11 = 6325
\]
So, the expression \( 23 \cdot 5^2 \cdot 11 \) as a whole number is:
\[
\boxed{6325}
\]
1. Calculate \( 5^2 \):
\[
5^2 = 25
\]
2. Now multiply \( 23 \), \( 25 \), and \( 11 \):
\[
23 \cdot 25 \cdot 11
\]
3. First, multiply \( 23 \) and \( 25 \):
\[
23 \cdot 25 = 575
\]
4. Now multiply \( 575 \) by \( 11 \):
\[
575 \cdot 11 = 6325
\]
So, the expression \( 23 \cdot 5^2 \cdot 11 \) as a whole number is:
\[
\boxed{6325}
\]