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Byju's Answer
Standard XII
Mathematics
Finding Remainder of Numbers of the Form a^b
If 599 is div...
Question
If
5
99
is divided by
13
, then the remainder is
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Solution
Given
5
99
=
5
(
5
)
98
=
5
(
25
)
49
=
5
(
26
−
1
)
49
=
5
[
49
C
0
(
26
)
49
−
49
C
1
(
26
)
48
+
49
C
2
(
26
)
47
+
…
−
1
]
=
5
[
26
k
−
1
]
,
k
∈
Z
Now,
5
99
13
=
5
[
26
k
−
1
]
13
=
10
k
−
5
13
=
10
k
−
1
+
8
13
Hence, the remainder is
8
.
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Finding Remainder of Numbers of the Form a^b
Standard XII Mathematics
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