Discussion

Explanation:

Consider f(x) = |x^x|
f(2) = 2² = 4, and
f(-2) = -2^-2 = -1/4
∵ f(2) ≠ f(-2) hence, f(x) is neither even nor odd.
⇒ $5^{|x{}^x|}$ is neither even nor odd

Now, consider g(x) = |x|^|x| 
g(-x) = |-x|^|-x| = |x|^|x|
∴ g(x) is an even function.
⇒ $5^{|x{|}^{\left|x\right|}}$ is also an even function

Hence, option (d). 

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