Compute $2i(3-4i)$ and express the result in standard form $a+bi$.

Rationalize and simplify $\frac{3}{2-5i}$, and express the result in standard form $a+bi$ in lowest terms.

Find the real value $b$ such that $(2+bi)(3-4i)$ is a real number.

Which sequence of steps is the correct general procedure to divide the complex numbers: $(a+bi)÷(c+di)$?

Compute $i^{99}(2+3i)$ and express the result in $a+bi$ form.