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Byju's Answer
Standard VIII
Mathematics
Laws of Exponents
Which of the ...
Question
Which of the following is equal to
a
2
3
, for all values of a?
A
√
a
1
3
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B
√
a
3
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C
3
√
a
1
2
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D
3
√
a
2
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Solution
The correct option is
D
3
√
a
2
a
2
3
=
(
a
2
)
1
3
=
3
√
a
2
Suggest Corrections
0
Similar questions
Q.
State true or false:
If
a
1
,
a
2
,
a
3
∈
+
R
, then
a
1
a
2
+
a
2
a
3
+
a
3
a
1
≥
3
Q.
If
a
1
,
a
2
,
a
3
,
.
.
.
.
.
.
.
.
.
.
,
a
n
are consecutive terms of an increasing
A
.
P
.
and
(
1
2
−
a
1
)
+
(
2
2
−
a
2
)
+
(
3
2
−
a
3
)
+
.
.
.
.
.
.
.
+
(
n
2
−
a
n
)
=
(
n
−
1
)
n
(
n
+
1
)
3
, then the value of
(
a
5
+
a
3
−
a
2
6
)
is equal to
Q.
For all real values of
a
0
,
a
1
,
a
2
,
a
3
satisfying
a
0
+
a
1
2
+
a
2
3
+
α
3
4
=
0
, the equation
a
1
x
+
a
2
x
2
+
a
2
x
+
a
3
x
3
=
0
has real root in the interval
Q.
If for an
A
.
P
.
a
1
,
a
2
,
a
3
,
.
.
.
.
.
.
,
a
n
,
.
.
.
.
.
a
1
+
a
3
+
a
5
=
−
12
and
a
1
a
2
a
3
=
8
then the value of
a
2
+
a
4
+
a
6
equals
Q.
If
a
1
,
a
2
,
a
3
,
.
.
.
.
a
n
are in A.P., where
a
1
>
0
for all
i
, then
1
√
a
1
+
√
a
2
+
1
√
a
2
+
√
a
3
+
.
.
.
.
+
1
√
a
n
−
1
+
√
a
n
is equal to
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