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# EXPONENTIALS Q

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EXPONENTIALS Q [#permalink]

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06 Jan 2004, 19:40
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Any idea Pls include reasoning along with all answer posts.

The value of (2^3/4 + 2^1/2 + 2^1/4 + 1)(2^1/4 - 1)

a. 5
2. 7
3. -1
4. 1
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Pls include reasoning along with all answer posts.
****GMAT Loco****
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06 Jan 2004, 19:52
4)

= 2^(3/4+1/4) + [-1][2^3/4] + 2^(1/2+1/4) + [-1][2^1/2] + 2^(1/4+1/4) + [-1][2^1/4] + 2^1/4 - 1
= 2 - 2^3/4 + 2^3/4 - 2^1/2 + 2^1/2 - 2^1/4 + 2^1/4 -1
= 2 - 1
= 1
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Paul

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06 Jan 2004, 19:54
[quote="Paul"]4)

= 2^(3/4+1/4) + [-1][2^3/4] + 2^(1/2+1/4) + [-1][2^1/2] + 2^(1/4+1/4) + [-1][2^1/4] + 2^1/4 - 1
= 2 - 2^3/4 + 2^3/4 - 2^1/2 + 2^1/2 - 2^1/4 + 2^1/4 -1
= 2 - 1
= 1[/quote]

How many minutes did that take you approx?
Is there a short cut?
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Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Kudos [?]: 25 [0], given: 0

GMAT Club Legend
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Kudos [?]: 528 [0], given: 0

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06 Jan 2004, 19:57
the time writing took me much longer than doing it. 30 sec to do it
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Paul

Kudos [?]: 528 [0], given: 0

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06 Jan 2004, 19:58
I'm thoroughly confused by this problem for some reason.
What exponential rules did your use?
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Pls include reasoning along with all answer posts.
****GMAT Loco****
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Kudos [?]: 25 [0], given: 0

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06 Jan 2004, 20:00
Just know the rule to multiply and add exponents. When same base is multiplied, in this case 2, you can just add up their exponents
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Paul

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06 Jan 2004, 20:06
I made daft mistake.
Cheers
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Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Kudos [?]: 25 [0], given: 0

06 Jan 2004, 20:06
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# EXPONENTIALS Q

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