The correct option is C 9^ 7We know that: a^m× a^n=a^m+n ∴ 9^ 4× 9^ 3 =9^( 4)+( 3) =9^ 4 3 =9^ 7 ...

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Sum of Infinite Terms of a GP

9-4× 9-3=?

Question

$9^{- 4} \times 9^{- 3} = ?$

9^{- 1}

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9^{- 6}

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9^{- 7}

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9^{- 10}

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Solution

The correct option is C $9^{- 7}$
We know that:
$a^{m} \times a^{n} = a^{m + n}$
$∴ 9^{- 4} \times 9^{- 3} = 9^{(- 4) + (- 3)} = 9^{- 4 - 3} = 9^{- 7}$

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