Evaluate `(5-7i) +(2+4i).`

Evaluate (4+5i)(2-3i)

Evaluate (2-7i)/(3+5i)

Evaluate (2+3i)(4-5i).

Evaluate: (i^(2)+i^(4)+i^(6)+i^(7))/(1+i^(2)+i^(3))

Evaluate: (i^2+i^4+i^6+i^7)/(1+i^2+i^3)

Find the value of i^(4) + i^(5) + i^(6) + i^(7) .

Find the value of determinant : |(5i,-3i),(4i,-i)|

If the maximum value of |3z +9 - 7i | if |z+2-i|=5 is 5K, then find k

Answer the following. Simplify the following an express in the form a + ib: (5 + 7i) / (4 + 3i) + (5 +7i) / (4 - 3i)

Perform the indicated operations and write the result in the form x + iy : (1- 2i) -i + (4- 7i)-2i + (5i + 3) .