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# Exponents

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Intern
Joined: 10 Aug 2017
Posts: 8

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25 Sep 2017, 20:49
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,
Manager
Joined: 17 May 2015
Posts: 237

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26 Sep 2017, 00:34
1
NomanSaleem wrote:
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,

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.
Intern
Joined: 10 Aug 2017
Posts: 8

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26 Sep 2017, 00:47
It was very helpful.

Thanks Ganand.

Sent from my iPhone using GMAT Club Forum
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4667

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07 Oct 2017, 16:19
NomanSaleem wrote:
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,

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
_________________

Mike McGarry
Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)

Intern
Joined: 10 Aug 2017
Posts: 8

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16 Oct 2017, 00:35
mikemcgarry wrote:
NomanSaleem wrote:
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,

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

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
Re: Exponents &nbs [#permalink] 16 Oct 2017, 00:35
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# Exponents

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