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Q.

If $5^{x - 2} = 100$ , then $5^{x + 2} =$

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a

100

b

6250

c

400

d

62500

answer is D.

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Detailed Solution

$\frac{5^{x}}{5^{2}} = 100$

$\Rightarrow 5^{x} = 100 \times 5^{2}$

$5^{x} = 2500$

$5^{x + 2} = 5^{x} \times 5^{2}$

$= 2500 \times 25$

$= 62500$

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