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# If the operation $is defined such that x$y = x^y*y^x, what is the val

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Math Expert
Joined: 02 Sep 2009
Posts: 52390
If the operation $is defined such that x$y = x^y*y^x, what is the val  [#permalink]

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06 Jan 2017, 02:08
00:00

Difficulty:

5% (low)

Question Stats:

85% (01:08) correct 15% (01:38) wrong based on 88 sessions

A. 4
B. 2
C. 0.25
D. 0.125
E. 0.0625

A. 4
B. 2
C. 0.25
D. 0.125
E. 0.0625

4$(1/2) = $$4^{\frac{1}{2}}$$ $$\frac{1}{2}^{4}$$ 2 x $$\frac{1}{16}$$ D _________________ I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2830 Re: If the operation$ is defined such that x$y = x^y*y^x, what is the val [#permalink] ### Show Tags 09 Jan 2017, 09:46 Bunuel wrote: If the operation$ is defined such that x$y = x^y*y^x, what is the value of 4$(1/2)?

A. 4
B. 2
C. 0.25
D. 0.125
E. 0.0625

We are given that the operation $is defined such that x$y = (x^y)(y^x)