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If (18^a) * 9^(3a – 1)= (2^3)(3^b) and a and b are positive

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If (18^a) * 9^(3a – 1)= (2^3)(3^b) and a and b are positive  [#permalink]

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New post 27 May 2012, 09:21
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (01:47) correct 19% (02:20) wrong based on 70 sessions

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If (18^a) * 9^(3a – 1)= (2^3)(3^b) and a and b are positive integers, what is the value of a?

A. 22
B. 11
C. 9
D. 6
E. 3
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Re: If (18^a) * 9^(3a – 1)= (2^3)(3^b) and a and b are positive  [#permalink]

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New post 28 May 2012, 00:32
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Re: If (18^a) * 9^(3a – 1)= (2^3)(3^b) and a and b are positive  [#permalink]

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New post 27 Feb 2014, 21:04
macjas wrote:
If (18^a) * 9^(3a – 1)= (2^3)(3^b) and a and b are positive integers, what is the value of a?

A. 22
B. 11
C. 9
D. 6
E. 3


(18^a) * 9^(3a – 1)= (2^3)(3^b)

= 2^a . 9^a . 9^(3a – 1) = (2^3)(3^b)

Just compare powers of 2 from both sides (no need to calculate powers of 3, 9 as value of b is not asked)

Answer = 3 = E

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Re: If (18^a) * 9^(3a – 1)= (2^3)(3^b) and a and b are positive  [#permalink]

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New post 22 Sep 2019, 01:12
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Re: If (18^a) * 9^(3a – 1)= (2^3)(3^b) and a and b are positive   [#permalink] 22 Sep 2019, 01:12
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