# If #x^(x^4) = 4#, then #x^(x^2) + x^(x^8)# will be equal to what?

##### 1 Answer

Nov 16, 2016

#### Explanation:

In general equations of the form

#sqrt(2)^(sqrt(2)^4) = sqrt(2)^4 = 4#

So

Then we find:

#sqrt(2)^(sqrt(2)^2) + sqrt(2)^(sqrt(2)^8) = sqrt(2)^2 + sqrt(2)^16 = 2+256 = 258#

**Footnote**

Concerning the "guessing", notice that if:

#x^a = a#

then:

#x^(x^a) = x^a = a" "# too.

So in general,