Which expression is equivalent to (5^2)^4 ⋅ 5^5 ?

(5^2)^4 ⋅ 5^5 is equal to 5^8 ⋅ 5^5

When you have the same base and are multiplying exponents, you add the exponents together.

Therefore, this expression simplifies to 5^(8+5) which is equal to 5^13.