Question

What is the simplified form of 2^5 * 5^2?

Answer 1

To simplify \( 2^5 \times 5^2 \), we can calculate each term individually:

\[
2^5 = 32
\]
\[
5^2 = 25
\]

Now we can multiply these results together:

\[
32 \times 25
\]

To perform the multiplication, you can break it down as follows:

\[
32 \times 25 = 32 \times (20 + 5) = 32 \times 20 + 32 \times 5
\]
Calculating each part:

\[
32 \times 20 = 640
\]
\[
32 \times 5 = 160
\]

Now add those results together:

\[
640 + 160 = 800
\]

Thus, the simplified form of \( 2^5 \times 5^2 \) is

\[
\boxed{800}
\]