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# EXPONENTIALS Q

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Senior Manager
Joined: 30 Aug 2003
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EXPONENTIALS Q [#permalink]  06 Jan 2004, 18:40
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****
Este examen me conduce jodiendo loco

GMAT Club Legend
Joined: 15 Dec 2003
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Kudos [?]: 209 [0], given: 0

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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Best Regards,

Paul

Senior Manager
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[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

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4315
Followers: 25

Kudos [?]: 209 [0], given: 0

the time writing took me much longer than doing it. 30 sec to do it
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Best Regards,

Paul

Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
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I'm thoroughly confused by this problem for some reason.
What exponential rules did your use?
_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4315
Followers: 25

Kudos [?]: 209 [0], given: 0

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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Best Regards,

Paul

Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
Followers: 1

Kudos [?]: 1 [0], given: 0

Cheers
_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

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