1. **State the problem:** We need to add the numbers $3.8 \times 10^{22}$ and $3.8 \times 10^{23}$ and express the result 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. We can rewrite one number to match the power of 10 of the other. 3. **Rewrite the first number to have the same power of 10 as the second:** $$3.8 \times 10^{22} = 0.38 \times 10^{23}$$ 4. **Add the coefficients:** $$0.38 + 3.8 = 4.18$$ 5. **Write the sum in standard form:** $$4.18 \times 10^{23}$$ 6. **Final answer:** The sum of $3.8 \times 10^{22}$ and $3.8 \times 10^{23}$ in standard form is $$4.18 \times 10^{23}$$