A calculator has a key for squaring and another key for inverting. So if x is the displayed number, then pressing the square key will replace x by x^2 and pressing the invert key will replace x by 1/x. If initially the number displayed is 6 and one alternatively presses the invert and square key 16 times each, then the final number displayed (assuming no roundoff or overflow errors) will be
Pick one.
A) 6/65536
B) 6/65522
C) 6/65288
D) 6/62888
E) 6/65199
Even number of inverse key has no effect on the number. For example, Initially the given number is 6. Square key makes it 6262 and invert key makes it 162162. Now again square key makes it (162)2=164(162)2=164 and invert key makes it 6464. Now observe clearly, after pressing square key 2 times, the power of 6 became 4.   By pressing the square key, the value got increased like 2, 4, 8, .... Which are in the format of 2n2n. So after the 16 pressings the power becomes 216216   So the final number will be 6216=6/65536   6/65536nswer:6/65536
<result>A</result>
A calculator has a key for squaring and another key for inverting. So if x is the displayed number, then pressing the square key will replace x by x^2 and pressing the invert key will replace x by 1/x. If initially the number displayed is 6 and one alternatively presses the invert and square key 16 times each, then the final number displayed (assuming no roundoff or overflow errors) will be