1. **State the problem:** Evaluate and express in standard form the sum $$(7.01 \times 10^6) + (5 \times 10^5).$$
2. **Recall the rule:** To add numbers in scientific notation, they must have the same power of 10.
3. **Rewrite the terms with the same exponent:**
$$7.01 \times 10^6 + 5 \times 10^5 = 7.01 \times 10^6 + 0.5 \times 10^6$$
4. **Add the coefficients:**
$$7.01 + 0.5 = 7.51$$
5. **Write the sum in standard form:**
$$7.51 \times 10^6$$
6. **Final answer:**
The sum expressed in standard form is $$7.51 \times 10^6.$$
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