Conjugate of:
Z1= 2+3i
Z2=-5-4i
Conjugate of z1 and z2:
[tex]\begin{gathered} Z1=2-3i \\ Z2=-5+4i \end{gathered}[/tex]The axis x will be the number a, and the y-axis will be the number b with i.
Conjugate of the product: Multiplying Z1*Z2:
[tex]\begin{gathered} Z1*Z2=(2+3i)*(-5-4i) \\ Z1*Z2=-10-8i-15i-12(i)^2 \\ Z1*Z2=-10+12-23i=2-23i \end{gathered}[/tex]Therefore, the conjugate of the product will be:
[tex]Z1*Z2Conjugate=2+23i[/tex]