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Question

If (59)4×(59)10=(59)4(59)2a1, then the value of a is ______ .

A
1
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B
52
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C
54
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D
12
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Solution

The correct option is D 12
LHS : (59)4×(59)10=(59)410=(59)6

RHS : (59)4×(59)2a1=(59)2a14=(59)2a5

Given that,
LHS = RHS

(59)6=(59)2a5

6=2a5
2a=56
a=12

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