Question

What is the smallest positive integer that makes (x^x)^x > 10,000 true?

What is the largest negative integer that makes (x^x)^x > 10,000 true?


If someone could help me with these two problems it would be greatly appreciated! :)

Answer 1

(2^2)^2 = 4^2 = 16

(3^3)^3 = 27^3 = 19,683 So the answer is 3.

Second Part:-

(-2)^(-2) = 0.25 and 0.25^-2 = 16

[(-3)^(-3)]^-3 = -19683

[(-4)^(-4)]^-4 = 4294967296 So the answer is -4