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Operations on Monomial Surds

If 3 a =729, ...

Question

$I f 3^{a} = 729, t h e n 3^{a - 2} =$

A

9

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B

27

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C

243

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D

81

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Solution

The correct option is D
81

$3^{a} = 729 3^{a - 2} = 3^{a} \times 3^{- 2} = \frac{729}{9} = 81$

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