z^4=196

Solution for z^4=196 equation:

Simplifying
z4 = 196

Solving
z4 = 196

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Simplifying
z4 = 196

Reorder the terms:
-196 + z4 = 196 + -196

Combine like terms: 196 + -196 = 0
-196 + z4 = 0

Factor a difference between two squares.
(14 + z2)(-14 + z2) = 0

Subproblem 1
Set the factor '(14 + z2)' equal to zero and attempt to solve:

Simplifying
14 + z2 = 0

Solving
14 + z2 = 0

Move all terms containing z to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + -14 + z2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + z2 = 0 + -14
z2 = 0 + -14

Combine like terms: 0 + -14 = -14
z2 = -14

Simplifying
z2 = -14

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-14 + z2)' equal to zero and attempt to solve:

Simplifying
-14 + z2 = 0

Solving
-14 + z2 = 0

Move all terms containing z to the left, all other terms to the right.

Add '14' to each side of the equation.
-14 + 14 + z2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + z2 = 0 + 14
z2 = 0 + 14

Combine like terms: 0 + 14 = 14
z2 = 14

Simplifying
z2 = 14

Take the square root of each side:
z = {-3.741657387, 3.741657387}
Solution
z = {-3.741657387, 3.741657387}