Write the expression in simplest form. Assume that all variables are positive. (-32x^-10)^1/5 (-32x^-10)^1/5= square

To simplify the expression \(\left(-32 x^{-10}\right)^{i / 5}\), we will apply the exponent rule \((a^m)^n = a^{mn}\) to both the numerical and variable parts of the expression separately.Given that is the imaginary unit, we have: Now, we simplify each part:1. For the numerical part, \((-32)^{i / 5}\), we can't simplify this further without knowing the context in which the imaginary unit is used, as it will involve complex numbers.2. For the variable part, \((x^{-10})^{i / 5}\), we apply the exponent rule: Therefore, the expression in simplest form is: This is the expression simplified, but it should be noted that it involves complex numbers due to the presence of the imaginary unit .