Conflicting Answers in Exponent Questions

In Week 2 Day 1 of the Two Month Study Plan, Greg states that 5^5^5^5^5 is 5^625. In a problem in the quant practice questions, Greg states 5^5^5^5 is 5^5^3125, meaning he did 5 to the power of 5 in the higher exponents instead of just multiplying them. Is this correct? It seemingly contradicts the lesson.

did you notice brackets in the question?

There was no brackets in either question