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Byju's Answer
Standard IX
Mathematics
Product Law
If 594×59-1...
Question
If
(
5
9
)
4
×
(
5
9
)
−
10
=
(
5
9
)
−
4
(
5
9
)
2
a
−
1
, then the value of
a
is ______ .
A
1
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B
−
5
2
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C
−
5
4
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D
−
1
2
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Solution
The correct option is
D
−
1
2
LHS :
(
5
9
)
4
×
(
5
9
)
−
10
=
(
5
9
)
4
−
10
=
(
5
9
)
−
6
RHS :
(
5
9
)
−
4
×
(
5
9
)
2
a
−
1
=
(
5
9
)
2
a
−
1
−
4
=
(
5
9
)
2
a
−
5
Given that,
LHS
=
RHS
∴
(
5
9
)
−
6
=
(
5
9
)
2
a
−
5
∴
−
6
=
2
a
−
5
⇒
2
a
=
5
−
6
⇒
a
=
−
1
2
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0
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S
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1
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×
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.
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then the value of
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