Show that: |2-3i^7 . 3-5i^-3| = |2-3i^7| |3-5i^-3|

Question

Show that: |2-3i⁷ . 3-5i^-3| = |2-3i⁷| |3-5i^-3|

Answer 1

Know that the absolute value of any value regardless of signs is always positive.

 

 

| a . b | = | a | | b |

 

where:

a = 2 - 3i⁷

b = 5 - 3i^-3