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Importance of Brackets

If 3x=2700 ...

Question

If $3^{x} = 2700$ then find the value of $3^{x + 2} + 3^{x - 2}$

A

25600

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B

24600

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C

2200

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D

2400

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Solution

The correct option is B $24600$
$3^{x} = 2700$
$3^{x + 2} + 3^{x - 2} = 9 \times 3^{x} + \frac{3^{x}}{9} = 9 \times 2700 + \frac{2700}{9}$
$= 24300 + 300 = 24600$

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