To simplify the expression √²x⁴ * √²x⁴, we first rewrite it using exponent notation. The fourth root of x squared can be expressed as x raised to the power of 2/4, which simplifies to x raised to the power of 1/2 or √x.
So, we have:
√²x⁴ * √²x⁴ = (x^(2/4)) * (x^(2/4)) = x^(2/4 + 2/4) = x^(4/4) = x^1 = x
The simplified form of the expression is just x.