WebbVIDEO ANSWER: Okay, so we want to simplify it. A falling apart. Good. Start creating. This is the park to So we have I squared to the power of 11 Sonal. Its record of ice word is given to me a good one so we can pu WebbWhether the remainder is 1, 2, 3, or 4, the key to simplifying powers of i is the remainder when the exponent is divided by 4 . Practice Problems Problem 1 i 23 Problem 2 i 18 Problem 3 i 41 Problem 4 i 100 Problem 5 5 i 22 Problem 6 12 i 36 Problem 7 7 i 103 Worksheet on Imaginary Numbers Further Reading: Complex Numbers Home

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Webb20 jan. 2024 · Step-by-step explanation: i^0 =1. i ^1 = i. i^2 =-1. i^3 = -i. It cycles through by 4. so i^4 is back to 1. Take the power , divide by 4 and look to the chart for the remainder. … Webb22 mars 2024 · The simplified form of the complex power is. The square root of any negative number leads to a complex number. For example: Given the complex … greatest hits of the who

Simplify and express each of the following in exponential

Webb15 okt. 2024 · The simplification of i²² is equal to; -1. According to the question; We are required to determine the value of i²². By complex numbers; i = √-1; i² = -1; i³ = -1 × √-1 = -1 … WebbSimplify each of the following powers of i into either −𝟏,𝟏,𝒊,𝐨𝐫−𝒊. 1. 𝑖10 21 2. 𝑖 363. 𝑖 4. 𝑖45 5. 𝑖87 Simplify the following square roots. 6. √−27 7. √−100 8. √−125 9. −32 10. √−72 Simplify … WebbThe Power Rule for Exponents. Let’s simplify (52)4. In this case, the base is 52 and the exponent is 4, so you multiply 52 four times: (52)4 = 52 • 52 • 52 • 52 = 58 (using the Product Rule – add the exponents). (52)4 is a power of a power. It is the fourth power of 5 to the second power. And we saw above that the answer is 58. greatest hits online competition