Question

2. ?????? ? ???????????? ????? \[ \left(\frac{4+4 i}{1-i \sqrt{3}}\right)^{6} \text {. } \] 3. ?????? ??? ???????? ?????? ??

          2. ?????? ? ???????????? ?????
\[
\left(\frac{4+4 i}{1-i \sqrt{3}}\right)^{6} \text {. }
\]
3. ?????? ??? ???????? ?????? ??

2. ?????? ? ???????????? ?????

((4+4 i)/(1-i √(3)))^6.

3. ?????? ??? ???????? ?????? ??

Added by Софія Б.

Introductory Algebra for College Students

Robert Blitzer 6th Edition

Chapter 8

Instant Answer

Solved by Expert Christopher Stanley

02/17/2021

Step 1

First, we simplify the fraction inside the parentheses: \[ \frac{4+4 i}{1-i \sqrt{3}} = \frac{(4+4 i)(1+i \sqrt{3})}{(1-i \sqrt{3})(1+i \sqrt{3})} = \frac{4+4 i + 4i \sqrt{3} - 4 \sqrt{3}}{1+3} = \frac{4(1+i(1+\sqrt{3}))}{4} = 1+i(1+\sqrt{3}) \] Show more…

Show all steps