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Calculate ( – 2 – 3i)^4. Give your answer in a + bi form

Calculate ( – 2 – 3i)^4. Give your answer in a + bi form-example-1
User Deutro
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1 Answer

4 votes

Answer:

-34 - 24i

Explanation:

To calculate ( – 2 – 3i)^4, we can use the property that (a + bi)^n = a^n + (n*a^(n-1)b)i + (na^(n-2)*b^2)i^2 + ...

So, ( – 2 – 3i)^4 = (-2 - 3i) * (-2 - 3i) * (-2 - 3i) * (-2 - 3i)

= -2^4 - 2^3 * 3i - 2^2 * 3^2i^2 - 2 * 3^3i^3 - 3^4i^4

= -16 - 24i + 18i^2

= -16 - 24i -18

= -34 - 24i

User Sneaker
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