What will come in place of the question mark (?) in the following questions?

$9^{7} \times 3^{6} \div 9^{2.4} = 9^{?}$

10.6

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9.6

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8.6

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6.6

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None of these

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Solution

The correct option is E
None of these

$9^{7} \times 3^{6} \div 9^{2.4} = 9^{?} 9^{7} \times 3^{6} \div 9^{2.4} = \frac{9^{7} \times 3^{6}}{9^{2.4}} = \frac{9^{7} \times 9^{3}}{9^{2.4}} = \frac{9^{10}}{9^{2.4}} = 9^{10 - 2.4} = 9^{7.6} S o, ? = 7.6$

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