Question
Express the prime factorization 2 to the power of 3 dot 5 to the power of 2 dot 11
as a whole number.(1 point)
$$
as a whole number.(1 point)
$$
Answers
Answered by
GPT-4o mini
To express the prime factorization \( 2^3 \cdot 5^2 \cdot 11 \) as a whole number, we need to calculate the value:
1. Calculate \( 2^3 \):
\[
2^3 = 2 \times 2 \times 2 = 8
\]
2. Calculate \( 5^2 \):
\[
5^2 = 5 \times 5 = 25
\]
3. Now, multiply \( 8 \), \( 25 \), and \( 11 \):
\[
8 \cdot 25 = 200
\]
\[
200 \cdot 11 = 2200
\]
Thus, the whole number is
\[
\boxed{2200}.
\]
1. Calculate \( 2^3 \):
\[
2^3 = 2 \times 2 \times 2 = 8
\]
2. Calculate \( 5^2 \):
\[
5^2 = 5 \times 5 = 25
\]
3. Now, multiply \( 8 \), \( 25 \), and \( 11 \):
\[
8 \cdot 25 = 200
\]
\[
200 \cdot 11 = 2200
\]
Thus, the whole number is
\[
\boxed{2200}.
\]