Only Geniuses Can Solve This | A Challenging Exponential Problem

[@SkellyOfJudgment]

X=10

[@lulairenoroub3869]

Pretty sure this doesn't need to be solved. It's correct already. It's a Roman numeral

[@voidcadet]

Another way to solve the first problem is using SQR(x^n) = ±(x^(n/2)).
x^4 = 10000
SQR(x^4) = SQR(10000)
±x^2 = 100 or x^2 = ±100
If x^2 = 100
SQR(x^2) = SQR(100)
±x = 10 or x = ±10 (first 2 possible answers)
If x^2 = -100
SQR(x^2) = SQR(-100)
SQR(-100) = SQR(100 * -1) = SQR(100) * SQR(-1) = 10i
±x = 10i or x = ±10i (next 2 possible answers)
So the answers are:
x = 10
x = -10
x = 10i
x = -10i
Or you can say: x ∈ {10, -10, 10i, -10i}