Another way to look at it is once you reach the poinwhere t = 1/64,000 you can set up a long division diagram with 1 underneath and 64,000 on the outside.
Then, place the decimal on top, and proceed to fill in zeros underneath until you reach a number that 64,000 goes into. In this case, you will get to 100,000 before you place a 1 above the last zero of 100,000, since 64,000 goes into 100,000 one time. Then just fill in the remaining zeroes above the division line and count them.
The procedure is diagrammed in the attached .jpg. The red zeroes get filled in one by one
Note: the radical sign in the image attached is supposed to represent long division
File comment: diagram of long division method
OG prob.JPG [ 2.31 KiB | Viewed 2011 times ]