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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
If the operation Ø is defined for all positive integers x and w by
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15 Feb 2023, 09:39
15 Feb 2023, 09:39
1
Expert Reply
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Question Stats:
66% (00:30) correct
33% (00:53) wrong based on 3 sessions
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If the operation Ø is defined for all positive integers x and w by \(x Ø w = \frac{2^x}{2^w}\)then \((3 Ø 1) Ø 3 =\) ?
(A) 2
(B) 4
(C) 8
(D) 16
(E) 32
(A) 2
(B) 4
(C) 8
(D) 16
(E) 32
Re: If the operation Ø is defined for all positive integers x and w by
[#permalink]
18 Feb 2023, 01:19
18 Feb 2023, 01:19
1
Expert Reply
Question: (3 Ø 1) Ø 3 = ?
Always start with the innermost bracket. Forget the rest of the expression while you evaluate it.
(3 Ø 1) = ?
Given x Ø w = \((2^x)/(2^w)\)
Here, x = 3 and w = 1
So (3 Ø 1) = \((2^3)/(2^1) = (2^2) = 4\)
So we got the value of (3 Ø 1) = 4. Let us substitute it and move ahead.
(3 Ø 1) Ø 3 = 4 Ø 3
Now, x = 4 and w = 3
So So (4 Ø 3) =\((2^4)/(2^3) = (2^1) = 2\)
Always start with the innermost bracket. Forget the rest of the expression while you evaluate it.
(3 Ø 1) = ?
Given x Ø w = \((2^x)/(2^w)\)
Here, x = 3 and w = 1
So (3 Ø 1) = \((2^3)/(2^1) = (2^2) = 4\)
So we got the value of (3 Ø 1) = 4. Let us substitute it and move ahead.
(3 Ø 1) Ø 3 = 4 Ø 3
Now, x = 4 and w = 3
So So (4 Ø 3) =\((2^4)/(2^3) = (2^1) = 2\)
gmatclubot
Re: If the operation Ø is defined for all positive integers x and w by [#permalink]
18 Feb 2023, 01:19
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