Arithmetic question practice

GRE Quant Problem Solving
1

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Hello there,

Can anyone tell me what’s the best possible approach for a question like this?

I tried multiplying every answer choice with 2^6 and then compared .

Please suggest if there’s a better way to attack this question!
Thanks
Regards
Dushyant

2

You can remember that

  1. Any number greater than one raised to any power greater than one, will only increase it’s value.
  2. Any number greater than one raised to any power between 0 and 1 will decrease it’s value (and the limit tends to 1 when the power is 0)
  3. Any number between 0 and 1 raised to a power greater than one, will only decrease in it’s value (and the limit tends to 0 as the power increases)
  4. Any number between 0 and 1 raised to a power between 0 and 1 will increase as the power decreases (and limit tends to 1 as the power decreases to 0)
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