Perform the operation and write the result in standard form. ( 2 i ) 2 ( 2 i ) ^ { 2 } ( 2 i ) 2 A) − 2 i - 2 i − 2 i B) − 4 - 4 − 4 C) − 4 i - 4 i − 4 i D) 4 i 4 i 4 i E) 2 2 2

Question

Perform the operation and write the result in standard form.   ( 2 i )  2 ( 2 i )  ^ { 2 } ( 2 i )  2 A)    − 2 i - 2 i − 2 i B)    − 4 - 4 − 4 C)    − 4 i - 4 i − 4 i D)    4 i 4 i 4 i E)    2 2 2

Yamini Rajput · Accepted Answer

Final Answer : B, Explanation :   The operation   ( 2 i ) 2 (2i)^2 ( 2 i ) 2   simplifies to   2 2 ∗ i 2 2^2 * i^2 2 2 ∗ i 2  . Since   i 2 = − 1 i^2 = -1 i 2 = − 1  , the result is   4 ∗ − 1 = − 4 4 * -1 = -4 4 ∗ − 1 = − 4  .

Perform the operation and write the result in standard form. $2 i ) ^ { 2 }$

A) $- 2 i$
B) $- 4$
C) $- 4 i$
D) $4 i$
E) $2$

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Learning Objectives

Related questions

Perform the operation and write the result in standard form. (2i) 2( 2 i ) ^ { 2 }(2i) 2 A) −2i- 2 i−2i B) −4- 4−4 C) −4i- 4 i−4i D) 4i4 i4i E) 222

Definitions

Learning Objectives

Learning Objectives

Related questions

Perform the operation and write the result in standard form. $2 i ) ^ { 2 }$

A) $- 2 i$
B) $- 4$
C) $- 4 i$
D) $4 i$
E) $2$