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Byju's Answer
Standard VIII
Mathematics
Positive and Negative Indices
If 6n=1296,...
Question
If
6
n
=
1296
, then
6
n
−
3
is ____________.
A
1
6
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B
6
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C
0.6
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D
D
a
t
a
i
n
s
u
f
f
i
c
i
e
n
t
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Solution
The correct option is
A
1
6
Given that
6
n
=
1296
⇒
n
=
1296
6
⇒
n
=
216
So,
6
n
−
3
=
6
216
−
3
⇒
6
n
−
3
=
6
213
Suggest Corrections
0
Similar questions
Q.
If n is any natural number, then 6
n
− 5
n
always ends with
(a) 1
(b) 3
(c) 5
(d) 7
[Hint: For any n ∈ N, 6
n
and 5
n
end with 6 and 5 respectively. Therefore, 6
n
− 5
n
always ends with 6 − 5 = 1.]