1. **State the problem:** Solve the equation $2^7 + 2^2 - 1340 = 0$. 2. **Recall the powers of 2:** - $2^7 = 128$ - $2^2 = 4$ 3. **Substitute these values into the equation:** $$128 + 4 - 1340 = 0$$ 4. **Simplify the left side:** $$132 - 1340 = 0$$ 5. **Calculate the difference:** $$-1208 = 0$$ 6. **Interpretation:** The equation simplifies to $-1208 = 0$, which is false. **Final answer:** The equation has no solution because the left side does not equal zero.