Final answer:
To find the part of the book read each day, the 12th root of (8/15)^n is taken, resulting in a daily reading rate of (8/15)^(n/12).
Step-by-step explanation:
The student has read (8/15)^n part of a book in 12 days. To find the part of the book read each day, we need to determine the value of 'n' that represents the daily reading rate.
Assuming that the fraction (8/15)^n represents the total portion read after 12 days, and knowing that the same fraction of the book is read each day, we can use the 12th root to find the daily reading rate.
The daily part read is the 12th root of (8/15)^n, which is (8/15)^(n/12).