Find the product of the given complex number and its conjugate. $4-5i$

Find the product of the given complex number and its conjugate. $-7-i$

Find the quotient. Express your answer in standard form.  

$\(\frac{6+i}{4-2i}\)$

Find the quotient. Express your answer in standard form. 

$\(\frac{-5+3i}{-7-4i}\)$

Decide whether each statement is true or false. If false, correct the right side of the equation. i¹² = 1

Decide whether each statement is true or false. If false, correct the right side of the equation. (-2+7i) - (10-6i)= -12+i

Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) √24

Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) √-36