Home › CBSE Class 11 › mathematics › Complex Numbers — Algebra, Powers of i, Modulus, Conjugate, Multiplicative Inverse, Argand Plane › Identify the standard form of (-i)(2i)(-i/8)³.
Identify the standard form of (-i)(2i)(-i/8)³.
Ai/256
B1/256
C-1/256
D-i/256
Answer & Solution
Correct answer: A. i/256
(-i/8)³ = -i³/512 = -(-i)/512 = i/512. Then (-i)(2i) = -2i² = 2. So expression = 2 · (i/512) = i/256. (Use i³ = -i.)
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