1. The problem is to find the sum of $3.8 \times 10^{22}$ and $3.8 \times 10^{23}$. 2. When adding numbers in scientific notation, the exponents must be the same. 3. Rewrite $3.8 \times 10^{22}$ as $0.38 \times 10^{23}$ to match the exponent of $3.8 \times 10^{23}$. 4. Now add the coefficients: $0.38 + 3.8 = 4.18$. 5. So, the sum is $4.18 \times 10^{23}$. 6. The answer $3.8 \times 10^{45}$ is incorrect because you do not add exponents when adding numbers, only when multiplying. 7. Final answer: $$4.18 \times 10^{23}$$