The correct option is A 361Here, (19)^29× (19)^ 27 [∵ a^m × a^n = a^m+n] = (19)^29 27 = (19)^2 = 361 ...

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Base Systems

1929×19-27=?

Question

$(19)^{29} \times (19)^{- 27} = ?$

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361

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6859

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None of these

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Solution

The correct option is B 361
Here, $(19)^{29} \times (19)^{- 27}$
$[∵ a^{m} \times a^{n} = a^{m + n}]$
$= (19)^{29 - 27} = (19)^{2} = 361$

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