exponents problem

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exponents problem

by gibran » Mon May 19, 2008 9:39 am
What is the value of 3^-(x + y) / 3^-(x - y)?
(1) x = 2
(2) y = 3
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

IMO, it is C. But OA says it is B.
Source: — Data Sufficiency |

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Re: exponents problem

by gabriel » Mon May 19, 2008 10:13 am
gibran wrote:What is the value of 3^-(x + y) / 3^-(x - y)?
(1) x = 2
(2) y = 3
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

IMO, it is C. But OA says it is B.
Gibran, remember the rules of exponents. a^b/a^c = a^(b-c).

So, 3^-(x+y)/3^-(x-y) = 3^-(x+y)+(x-y)=3^-2y. So we only need the value of y to evaluate the expression. Hence the answer is B.