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If 2^A = 3 and 2^B = 5, then 2^(2A + B) =

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Joined: 02 Sep 2009
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If 2^A = 3 and 2^B = 5, then 2^(2A + B) =  [#permalink]

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New post 23 Aug 2018, 22:22
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (00:42) correct 26% (01:54) wrong based on 38 sessions

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Re: If 2^A = 3 and 2^B = 5, then 2^(2A + B) =  [#permalink]

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New post 23 Aug 2018, 22:29
\(2^{2A+B}\) can be written as \(2^{2A}\)\(2^B\) = \(2^{{A}2}2^B\) = \(3^2\)5 = 9*5 = 45.

C is the answer.
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If 2^A = 3 and 2^B = 5, then 2^(2A + B) =  [#permalink]

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New post 23 Aug 2018, 22:30
Bunuel wrote:
If 2^A = 3 and 2^B = 5, then 2^(2A + B) =

A. 11
B. 30
C. 45
D. 75
E. 225


\(2^{2A + B}=2^{2A}*2^B=(2^A)^2*2^B=3^2*5=9*5=45\)

Ans. (C)
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If 2^A = 3 and 2^B = 5, then 2^(2A + B) =  [#permalink]

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New post 24 Aug 2018, 02:34
Bunuel wrote:
If 2^A = 3 and 2^B = 5, then 2^(2A + B) =

A. 11
B. 30
C. 45
D. 75
E. 225



Given ,

2^A = 3

2^B = 5.

\(2^(2A + B)\)

= \(2^{(2A)} 2^B\)

=\((2^A)^2 *5\)

= \(3^2 *5\)

= 45.

The best answer is C
.
GMAT Club Bot
If 2^A = 3 and 2^B = 5, then 2^(2A + B) = &nbs [#permalink] 24 Aug 2018, 02:34
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If 2^A = 3 and 2^B = 5, then 2^(2A + B) =

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