Write the Expression in the Standard Form a + Bi $\left[ \sqrt { 2 } \left( \cos \frac { 3 \pi } { 4 } + i \sin \frac { 3 \pi } { 4 } \right) \right] ^ { 4 }$

Multiple Choice

Write the expression in the standard form a + bi.
- $\left[ \sqrt { 2 } \left( \cos \frac { 3 \pi } { 4 } + i \sin \frac { 3 \pi } { 4 } \right) \right] ^ { 4 }$

A) $4 \mathrm { i }$
B) $- 4$
C) $- 4 \mathrm { i }$
D) 4