Question

Write the expression below in expanded form.
2
3
·5
4
=

Answer 1

To expand the expression \( 2^3 \cdot 5^4 \), we break it down into its individual components.

1. **Calculate \( 2^3 \)**:
\[
2^3 = 2 \cdot 2 \cdot 2 = 8
\]

2. **Calculate \( 5^4 \)**:
\[
5^4 = 5 \cdot 5 \cdot 5 \cdot 5 = 625
\]

3. **Multiply the results together**:
\[
2^3 \cdot 5^4 = 8 \cdot 625
\]

4. **Calculate \( 8 \cdot 625 \)**:
\[
8 \cdot 625 = 5000
\]

Therefore, the expanded form of \( 2^3 \cdot 5^4 \) results in \( 5000 \).

Final answer:
\[
2^3 \cdot 5^4 = 5000
\]