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Deux Digit Deduction (
Posted on 20150121
)
X = 9
^{9}
, Y = 9
^{X}
and Z = 9
^{Y}
Find the respective last two digits of Y and Z.
No Solution Yet
Submitted by
K Sengupta
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powerful solution
 Comment 1 of 2
The last two digits of powers of 9 have a cycle of length 10, so you only need the last digit of the exponent to know the last two digits of the power.
Since 9^9 ends in 89
Y also ends in 89
and so
Z also ends in 89.
Posted by
Jer
on 20150121 12:25:04
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