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Example 2 - Express in a + ib: (-5i) (1/8i) & (-i) (2i) - Examples

  1. Chapter 5 Class 11 Complex Numbers
  2. Serial order wise
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Example, 2 Express the following in the form of a + ib: (-5i) (1/8 𝑖) (-5i) (1/8 𝑖) = βˆ’ 5 Γ— 1/8 Γ— i Γ— i = (βˆ’5)/8 Γ— i 2 = (βˆ’5)/8 Γ— (√(βˆ’1) )2 = (βˆ’5)/8 Γ— (βˆ’1) = 5/8 = 5/8 + 0 = 5/8 + i0 Example 2 Express the following in the form of a + bi (ii) (βˆ’π‘–) (2𝑖) (βˆ’1/8 𝑖)^3 (βˆ’π‘–) (2𝑖) (βˆ’1/8 𝑖)^3 = (βˆ’π‘–)(2𝑖) (βˆ’1/8)^3 𝑖^3 = βˆ’1 Γ— 2 Γ—(βˆ’1/(8 Γ— 8 Γ— 8)) Γ— (𝑖 Γ— 𝑖 Γ— 𝑖3) = 2 Γ— 1/(8 Γ— 8 Γ— 8) Γ— (𝑖^(3+1+1) ) = 1 Γ— 1/(4 Γ— 8 Γ— 8) Γ— (𝑖5) = 1/256 Γ— (𝑖4)𝑖 = 1/256 (𝑖2)2 𝑖 = 1/256 (βˆ’1)^2 𝑖 = 1/256 (1)𝑖 = 1/256 𝑖 = 0 + 1/256 𝑖

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