SOLUTION: Here is the problem. (t-4)to the 2/5 power =4. The book said the answer was 36, and it works out, but how did they arrive at this answer? I squared t-4 and took the square root

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Here is the problem. (t-4)to the 2/5 power =4. The book said the answer was 36, and it works out, but how did they arrive at this answer? I squared t-4 and took the square root       Log On


   

Question 192471This question is from textbook Algebra and Trigonometry Book 2
: Here is the problem. (t-4)to the 2/5 power =4. The book said the answer was 36, and it works out, but how did they arrive at this answer? I squared t-4 and took the square root of the answer, then my answer to the 5th power, but I didn't get 36.
This question is from textbook Algebra and Trigonometry Book 2

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for t:
%28t-4%29%5E%282%2F5%29+=+4 To "undo" the raise-to-the-2%2F5 power, raise each side to the inverse or 5%2F2 power.
%28%28t-4%29%5E%282%2F5%29%29%5E%285%2F2%29+=+4%5E%285%2F2%29
t-4+=+4%5E%285%2F2%29
t-4+=+sqrt%284%5E5%29
t-4+=+sqrt%281024%29
t-4+=+32 Add 4 to both sides.
highlight%28t+=+36%29