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Standard VII
Mathematics
Exponents with Like Bases
Question
If
(
3
2
)
2
×
(
3
2
)
a
+
5
=
(
3
2
)
8
, then
a
=
______ .
−
1
1
2
0
A
0
B
−
1
C
1
D
2
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Solution
Verified by Toppr
(
3
2
)
2
×
(
3
2
)
a
+
5
=
(
3
2
)
8
⇒
(
3
2
)
a
+
7
=
(
3
2
)
8
On comparing, we get,
a
+
7
=
8
⇒
a
=
1
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Similar Questions
Q1
If
(
3
2
)
2
×
(
3
2
)
a
+
5
=
(
3
2
)
8
, then
a
=
______ .
View Solution
Q2
If
(
3
2
)
2
×
(
3
2
)
a
+
5
=
(
3
2
)
8
, then the value of
a
is:
View Solution
Q3
If
A
=
⎡
⎢
⎣
1
2
3
2
3
4
0
5
6
⎤
⎥
⎦
, then
2
A
=
View Solution
Q4
State whether True or False.
The H.C.F. and L.C.M. of:
2
a
2
−
a
−
3
,
(
2
a
−
3
)
2
and
4
a
2
−
9
is
(
2
a
−
3
)
;
(
2
a
+
3
)
(
a
+
1
)
(
2
a
−
3
)
2
If true then enter
1
and if false then enter
0
View Solution
Q5
If
A
+
2
B
=
⎡
⎢
⎣
1
2
0
6
−
3
3
−
5
3
1
⎤
⎥
⎦
and
2
A
−
B
=
⎡
⎢
⎣
2
−
1
5
2
−
1
6
0
1
2
⎤
⎥
⎦
, then
t
r
(
A
)
−
t
r
(
B
)
=
View Solution