If
a=−2−5ia=-2-5i
a=−2−5i and
b=−ib=-i
b=−i, then find the value of the
ab3ab^3
ab
3
in fully simplified form.

Step-by-step explanation:

We were given the complex numbers;

and

We want to find the product;

We substitute the complex numbers into the expression and simplify:

This is rewritten as:

Note that

We substitute to obtain:

Let us expand to get:

This simplifies to:

This gives:

by definition, an arc subtended by a central angle of some given measure has the same measure. so .