Find $\left(\cos40^\circ+i\sin40^\circ\right)^9$(cos40°+isin40°)9.

Give your answer in rectangular form.

Find $\left(3\left(\cos180^\circ+i\sin180^\circ\right)\right)^2$(3(cos180°+isin180°))2.

Find $\left(5\left(\cos30^\circ+i\sin30^\circ\right)\right)^3$(5(cos30°+isin30°))3.

Find $\left(2\left(\cos60^\circ+i\sin60^\circ\right)\right)^6$(2(cos60°+isin60°))6.

Manipulate complex numbers and present them graphically

Apply the algebra of complex numbers in solving problems