Fully simplify the expression

(4i)(−i)

The given expression is:

(4i)(-i)

We can simplify this expression by multiplying the coefficients and adding the exponents of the imaginary unit 'i'.

4 * (-1) = -4
i^1 * i^1 = i^(1+1) = i^2 = -1

Therefore, the fully simplified expression for (4i)(-i) is:

-4 * -1 = 4