Byju's Answer
Standard IX
Mathematics
Product Law
If 53 -5× 5...
Question
If
(
5
3
)
−
5
×
(
5
3
)
−
11
=
(
5
3
)
8
x
, then
x
=
?
A
−
1
2
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B
−
2
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C
2
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D
1
2
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Solution
The correct option is
C
−
2
Given,
(
5
3
)
−
5
×
(
5
3
)
11
=
(
5
3
)
8
+
x
LHS
=
(
5
/
3
)
−
5
+
11
=
(
5
/
3
)
6
On aomparing powers of RHS and LHS as the bases are same, we get
8
+
x
=
6
⇒
x
=
−
2
Suggest Corrections
1
Similar questions
Q.
Question 99(i)
Find the value of x, so that
(
5
3
)
−
2
×
(
5
3
)
−
14
=
(
5
3
)
8
x
Q.
Evaluate:
1
1
7
−
2
3
+
2
5
1
−
1
25
1
−
1
7
⎛
⎜ ⎜ ⎜
⎝
1
3
+
2
5
1
−
2
5
⎞
⎟ ⎟ ⎟
⎠
Q.
If
(
x
−
2
√
6
)
(
5
√
3
+
5
√
2
)
5
√
3
−
5
√
2
=
1
then the value of x is
Q.
Question 99(i)
Find the value of x, so that
(
5
3
)
−
2
×
(
5
3
)
−
14
=
(
5
3
)
8
x
Q.
If
A
=
⎡
⎢
⎣
2
−
3
5
3
2
−
4
1
1
−
2
⎤
⎥
⎦
, then find
A
−
1
.
Use it to solve the system of equations
2
x
−
3
y
+
5
z
=
11
3
x
+
2
y
−
4
z
=
−
5
x
+
y
−
2
z
=
−
3
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