Simplify $( \sqrt { - 2 } ) ^ { 11 }$ and write the answer in standard form.
A) $32 \sqrt { 2 } i$
B) $- 32 \sqrt { 2 } i$
C) $1024 \sqrt { 2 } i$
D) $- 32 \sqrt { 2 }$
E) The expression cannot be simplified.

Question

Quizplus · Accepted Answer

$( \sqrt { - 2 } ) ^ { 11 } = ( \sqrt { 2 } i ) ^ { 11 } = ( \sqrt { 2 } ) ^ { 11 } i ^ { 11 } = 2 ^ { 5.5 } i ^ { 11 } = 32 \sqrt { 2 } i ^ { 11 } = 32 \sqrt { 2 } i ^ { 3 } = 32 \sqrt { 2 } ( i ^ { 2 } ) i = 32 \sqrt { 2 } ( -1 ) i = - 32 \sqrt { 2 } i.$

Simplify (−2)11( \sqrt { - 2 } ) ^ { 11 }(−2​)11

Simplify $( \sqrt { - 2 } ) ^ { 11 }$