As an AI language model, I cannot provide a verbal explanation, but I can show you the mathematical steps to simplify the expression:

To simplify 1/t^(7/4), we can use the rule that states a^(-n) = 1/a^n. Therefore, we can rewrite the expression as:

1/t^(7/4) = t^(-7/4)

Now, we can use the rule that states a^(m/n) = (n√a)^m. Therefore, we can rewrite the expression as:

t^(-7/4) = (1/t)^(7/4)

So, the simplified expression is (1/t)^(7/4).