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Expert replies
by Joy Shaha » Fri Nov 18, 2016 12:50 pm
Q. If a and b are positive integers and (2a)^b = 23, what is the value of 2^a2^b?
A) 6 B) 8 C) 16 D) 32 E) 64
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Source: — Problem Solving |

by Brent@GMATPrepNow » Fri Nov 18, 2016 12:54 pm
Joy Shaha wrote:Q. If a and b are positive integers and (2a)^b = 23, what is the value of 2^a2^b?
A) 6 B) 8 C) 16 D) 32 E) 64
Are you sure you've correctly transcribed this question?

Cheers,
Brent
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by DavidG@VeritasPrep » Fri Nov 18, 2016 12:57 pm
Joy Shaha wrote:Q. If a and b are positive integers and (2a)^b = 23, what is the value of 2^a2^b?
A) 6 B) 8 C) 16 D) 32 E) 64
I'm with Brent. If a and b are positive integers, we can't have (2a)^b = 23
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by DavidG@VeritasPrep » Fri Nov 18, 2016 12:59 pm
DavidG@VeritasPrep wrote:
Joy Shaha wrote:Q. If a and b are positive integers and (2a)^b = 23, what is the value of 2^a2^b?
A) 6 B) 8 C) 16 D) 32 E) 64
I'm with Brent. If a and b are positive integers, we can't have (2a)^b = 23
(Unless the 'a' is intended to represent the units digit of some number in the 20's. But that would have to be made explicit.)
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by Brent@GMATPrepNow » Fri Nov 18, 2016 1:02 pm
DavidG@VeritasPrep wrote:
Joy Shaha wrote:Q. If a and b are positive integers and (2a)^b = 23, what is the value of 2^a2^b?
A) 6 B) 8 C) 16 D) 32 E) 64
I'm with Brent. If a and b are positive integers, we can't have (2a)^b = 23
I was thinking that perhaps Joy intended to write 32 instead of 23, but the answer choices don't work for that anyway.
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by DavidG@VeritasPrep » Fri Nov 18, 2016 1:07 pm
Brent@GMATPrepNow wrote:
DavidG@VeritasPrep wrote:
Joy Shaha wrote:Q. If a and b are positive integers and (2a)^b = 23, what is the value of 2^a2^b?
A) 6 B) 8 C) 16 D) 32 E) 64
I'm with Brent. If a and b are positive integers, we can't have (2a)^b = 23
I was thinking that perhaps Joy intended to write 32 instead of 23, but the answer choices don't work for that anyway.
Perhaps it's (2^a)^b = 32 and we're looking for (2^a) * (2^b)?
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by Brent@GMATPrepNow » Fri Nov 18, 2016 1:13 pm
DavidG@VeritasPrep wrote:
Brent@GMATPrepNow wrote:
DavidG@VeritasPrep wrote:
Joy Shaha wrote:Q. If a and b are positive integers and (2a)^b = 23, what is the value of 2^a2^b?
A) 6 B) 8 C) 16 D) 32 E) 64
I'm with Brent. If a and b are positive integers, we can't have (2a)^b = 23
I was thinking that perhaps Joy intended to write 32 instead of 23, but the answer choices don't work for that anyway.
Perhaps it's (2^a)^b = 32 and we're looking for (2^a) * (2^b)?
That would make sense (at least it'd work with the answer choices)

Aside: this would make for an interesting question type: try to determine what the poster intended when he/she made an error when posting!
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by DavidG@VeritasPrep » Fri Nov 18, 2016 2:34 pm
Brent@GMATPrepNow wrote:
DavidG@VeritasPrep wrote:
Brent@GMATPrepNow wrote:
DavidG@VeritasPrep wrote:
Joy Shaha wrote:Q. If a and b are positive integers and (2a)^b = 23, what is the value of 2^a2^b?
A) 6 B) 8 C) 16 D) 32 E) 64
I'm with Brent. If a and b are positive integers, we can't have (2a)^b = 23
I was thinking that perhaps Joy intended to write 32 instead of 23, but the answer choices don't work for that anyway.
Perhaps it's (2^a)^b = 32 and we're looking for (2^a) * (2^b)?
That would make sense (at least it'd work with the answer choices)

Aside: this would make for an interesting question type: try to determine what the poster intended when he/she made an error when posting!
GMAT-Rorschach? The Gschach?
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