1. Let's evaluate each expression step-by-step. 2. Evaluate $25 - 3^4$: $$3^4 = 3 \times 3 \times 3 \times 3 = 81$$ So, $$25 - 81 = -56$$ 3. Evaluate $-11 - 3^2$: $$3^2 = 3 \times 3 = 9$$ So, $$-11 - 9 = -20$$ 4. Evaluate $9^2$: $$9^2 = 81$$ 5. Evaluate $4^2 - 10$: $$4^2 = 16$$ So, $$16 - 10 = 6$$ 6. Evaluate $16 - 17$: $$16 - 17 = -1$$ 7. Evaluate $-64$ and $-36$ (these are just numbers, no operation needed). 8. Determine which expression is equivalent to $10 + 5^4$: Calculate $5^4$: $$5^4 = 5 \times 5 \times 5 \times 5 = 625$$ So, $$10 + 5^4 = 10 + 625 = 635$$ Check each option: - A: $10 + 5 \times 4 = 10 + 20 = 30$ (not equal to 635) - B: $(10 + 5)^4 = 15^4 = 50625$ (not equal to 635) - C: $(10 + 5) \times 4 = 15 \times 4 = 60$ (not equal to 635) - D: None of these (correct) 9. Determine which expression is equivalent to $1,000 + 196$: Calculate $1,000 + 196 = 1196$ Check each option: - F: $10^2 + 7 \times 28$ Calculate: $$10^2 = 100$$ $$7 \times 28 = 196$$ Sum: $$100 + 196 = 296$$ (not equal to 1196) - G: $10^3 + 14^2$ Calculate: $$10^3 = 1000$$ $$14^2 = 196$$ Sum: $$1000 + 196 = 1196$$ (equal to the original expression) So, option G is equivalent. **Final answers:** - $25 - 3^4 = -56$ - $-11 - 3^2 = -20$ - $9^2 = 81$ - $4^2 - 10 = 6$ - $16 - 17 = -1$ - Expression equivalent to $10 + 5^4$ is D (None of these) - Expression equivalent to $1,000 + 196$ is G ($10^3 + 14^2$)