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Byju's Answer
Standard XII
Mathematics
Finding Integral Part of Numbers of the Form a^b Where a Is Irrational
The last two ...
Question
The last two digits of the number
(
23
)
14
are
A
03
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B
09
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C
05
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D
01
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Solution
The correct option is
B
09
(
23
)
14
=
(
529
)
7
=
(
530
−
1
)
7
=
7
C
0
(
530
)
7
−
7
C
1
(
530
)
6
+
…
+
7
C
6
(
530
)
1
−
1
=
7
C
0
(
530
)
7
−
7
C
1
(
530
)
6
+
.
.
.
+
3710
−
1
=
100
k
+
3709
,
k
∈
Z
Therefore, last two digits are
09
.
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Finding Integral Part of Numbers of the Form a^b Where a Is Irrational
Standard XII Mathematics
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