Exponents

Question

Kindly help me out with this question,

Q- Arrange 2^120, 3^72, 17^13 in ascending order.

I know we have to make either powers same or the bases but i am failing to do so.

Regards,

ganand · Answer

Hi  NomanSaleem ,

Try to convert all the term in the power of 2s. We can't convert exactly each term in the power of 2s, so we'll find the range.

3 ^{72} = (3^{3})^{24} = 27^{24} < 32^{24} = 2^{120} . 
Hence, we have following:
  2^{72} < 3^{72} < 2^{120}

Similarly,  17^{13} < 32^{13} = 2^{65} .

Ascending order:  17^{13}, 3^{72}, 2^{120}

Hope this helps.

NomanSaleem · Answer

It was very helpful.

Thanks Ganand.

Sent from my iPhone using GMAT Club Forum

mikemcgarry · Answer

Dear NomanSaleem , I'm happy to respond.

I see that ganand already gave you a brilliant solution. I simply want to point out that to produce the particular choices needed to make things clear, ganand used something called number sense . See: Number Sense for the GMAT If you can develop that set of skills, it will help you across the board on the GMAT Quant section. Does all this make sense? Mike

NomanSaleem · Answer

Dear Mike, Yeah! It totally makes sense

thanks for sharing the stuff. It helped me

Sent from my iPhone using GMAT Club Forum mobile app

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