If $6^{m} = 46656$ , what is the value of $6^{m - 2}$ ?

7776

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7782

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1296

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1290

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Solution

The correct option is D $1296$
We have, $6^{m} = 46656$ ......(1)

Hence $6^{m - 2} = 6^{m} \cdot 6^{- 2} = \frac{6^{m}}{6^{2}}$

$= \frac{46656}{36} = 1296$ , Use equation (1)

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