1. **State the problem:** We need to calculate $$(3.8 \times 10^7) + (5.2 \times 10^6)$$ and express the answer in standard form. 2. **Recall the rule for adding numbers in standard form:** To add numbers in standard form, they must have the same power of 10. 3. **Rewrite the numbers with the same power of 10:** Given $3.8 \times 10^7 = 38 \times 10^6$, rewrite the first term as $38 \times 10^6$. 4. **Add the coefficients:** $$38 + 5.2 = 43.2$$ 5. **Combine with the common power of 10:** $$43.2 \times 10^6$$ 6. **Convert to standard form:** Standard form requires the coefficient to be between 1 and 10. Since $43.2 = 4.32 \times 10^1$, we write: $$43.2 \times 10^6 = 4.32 \times 10^1 \times 10^6 = 4.32 \times 10^{7}$$ **Final answer:** $$4.32 \times 10^{7}$$