To determine which expressions are equal to 750,000, let's evaluate each option:
1. **\(75 \times 10^3\)**:
\(75 \times 10^3 = 75 \times 1000 = 75,000\)
This is **not equal** to 750,000.
2. **\(75 \times 10^4\)**:
\(75 \times 10^4 = 75 \times 10,000 = 750,000\)
This **is equal** to 750,000.
3. **\(75 \times 10^5\)**:
\(75 \times 10^5 = 75 \times 100,000 = 7,500,000\)
This is **not equal** to 750,000.
4. **\(10,000 \times 75\)**:
\(10,000 \times 75 = 750,000\)
This **is equal** to 750,000.
5. **\(100,000 \times 75\)**:
\(100,000 \times 75 = 7,500,000\)
This is **not equal** to 750,000.
Thus, the expressions that are equal to 750,000 are:
- **\(75 \times 10^4\)**
- **\(10,000 \times 75\)**