1. **State the problem:** We need to find which expression among F, G, H, and J is equivalent to $1000 + 196$.
2. **Calculate the sum:**
$$1000 + 196 = 1196$$
3. **Evaluate each expression:**
- F: $10^2 + 7 \cdot 28 = 100 + 196 = 296$
- G: $10^3 + 14^2 = 1000 + 196 = 1196$
- H: $100^{-3} + 7 \cdot 28 = \frac{1}{100^3} + 196 = 0.000001 + 196 \approx 196.000001$
- J: $100^{-2} + 14^2 = \frac{1}{100^2} + 196 = 0.0001 + 196 = 196.0001$
4. **Compare results:** Only expression G equals $1196$, which matches $1000 + 196$.
**Final answer:** Expression G is equivalent to $1000 + 196$.
Expression Equivalence F0242C
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.