1. **State the problem:** Simplify the expression $$(20^4 + 5)^2 +$$ 2. **Calculate the inner term:** First, calculate $20^4$. $$20^4 = 20 \times 20 \times 20 \times 20 = 160000$$ 3. **Add 5 to the result:** $$160000 + 5 = 160005$$ 4. **Square the sum:** $$ (160005)^2 = 160005 \times 160005 $$ 5. **Calculate the square:** $$160005^2 = 25601600025$$ 6. **Final expression:** The original expression is incomplete as it ends with a plus sign, so the simplified part is: $$ (20^4 + 5)^2 = 25601600025 $$ Since the expression ends with a plus sign and no further terms, this is the simplified value of the given part.