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Byju's Answer
Standard IX
Mathematics
Laws of Exponents for Real Numbers
Simplify: i ...
Question
Simplify:
(i)
2
3
2
2
1
5
(ii)
(
1
3
3
)
7
(iii)
11
1
2
11
1
4
(iv)
7
1
2
⋅
8
1
2
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Solution
(i)
2
3
2
.2
1
5
By using property
X
a
.
X
b
=
X
a
+
b
=
2
3
2
+
1
5
=
2
17
10
(ii)
(
1
3
3
)
7
By using property
(
x
y
)
a
=
x
a
y
b
=
1
(
3
3
)
7
=
1
3
21
......
[
∵
(
x
a
)
b
=
x
a
b
]
(iii)
11
1
2
11
1
4
By using property
X
a
X
b
=
X
a
−
b
=
11
1
2
−
1
4
=
11
1
4
(iv)
7
1
2
.8
1
2
=
56
1
2
......
[
∵
x
a
y
a
=
(
x
y
)
a
]
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(i)
(ii)
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(iv)