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Intern
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Exponents [#permalink]

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New post 25 Sep 2017, 19:49
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,

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New post 25 Sep 2017, 23:34
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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.

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New post 25 Sep 2017, 23:47
It was very helpful.

Thanks Ganand.


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Magoosh GMAT Instructor
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New post 07 Oct 2017, 15:19
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 :-)
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Mike McGarry
Magoosh Test Prep

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

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New post 15 Oct 2017, 23:35
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 :)


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Re: Exponents   [#permalink] 15 Oct 2017, 23:35
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