Evaluate (x^x)^(x^x) at x = 2.

Plugging in 2 as x gives 4^4, which is merely 256.

smc

prealgebra intermediate

Problem

Evaluate

(x^{x})^{(x^{x})}

x = 2

(A)

16

(B)

64

(C)

256

(D)

1024

Solution

Plugging in

2

x

gives

4^{4}

, which is merely

256

Final answer