Final answer:
To simplify the expression 25(1÷6)n × 4², we can first simplify the multiplication within the parentheses and 4 squared. Then, we can combine the terms to get a final simplified expression of 400n/6.
Step-by-step explanation:
To simplify the expression 25(1÷6)n × 4², we can start by simplifying the multiplication within the parentheses. 25(1÷6) can be rewritten as 25/6. Then, we can simplify further by multiplying 4², which equals 16. Now we have (25/6)n × 16. To simplify further, we can multiply the numerators 25 and 16 to get 400, and keep the denominator 6. So the final simplified expression is 400n/6.