Simplify each power of i. Use either i, −1, −i or 1.      a. i12 =       b. i13 =       c. i14 =       d. i15 =

Q: Show that B is the inverse of A.

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Q: Assume Z₁ = 7 - 4i and Z₂ = 2 + 5i. Find the sum and difference of z1 and 22.

A: Given  Z1 = 7 - 4i Z2=2 + 5i

Q: Simplify the expression -i+ (7+ 8i) 2i(-6+2i) + - 1-i to the form a + y · i where a and y are real…

A: The given expression 2i-6+2i+-i+7+8i¯¯1-i. Simplify the expression 2i-6+2i+-i+7+8i¯¯1-i in standard…

Q: Let a = - 4i – 33+ 3k and b = 4i – 33+ 2k. Find a – 36.

A: given   a→=-4i→-3j→+3k→    and  b→=4i→-3j→+2k→ we have to find a→-3b→

Q: Find each sum or difference. Write each an 9. (10 + 8i) + (6 + 4i) = 10. (9 + 5i) – (3 – 8i) = 11.…

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Q: Assume Z₁ = 2 - i and Z₂ = 1 + 3i. Find the product and quotient of z1 and 22. Z₁Z2 = Z1/Z2 =

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Q: Find the value of i20 + + 2i².

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Q: Assume Z₁ = 7 - 4i and Z₂ = 2 + 5i. Find the sum and difference of z1 and z2. Z₁ + Z₂ = Z1-Z₂ = +

A: Given that z1=7-4i and z2=2+5i

Q: Evaluate (1+ i)6 + (1 – i)³. Select one: Oa. -2 – 10i O b. 2- 10i OC. - 2+ 10i O d. 2+ 10i

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Q: Perform the indicated operations. AB= BA= SEE IMAGE

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Q: 4. Let p = 5 - 2i and q = 3 + 7i. Write each expression in the form c. pq a. b. p-q p + q Tea or…

A: p=5-2i q=-3+7i