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Popular >

expand (-1-i)*i^k

Solution

expand

(- 1 - i) \cdot i^{k}

Solution

- i^{k} - i^{k + 1}

Solution steps

(- 1 - i) i^{k}

= i^{k} (- 1 - i)

Apply the distributive law:

a (b - c) = ab - a c

i^{k} (- 1 - i) = i^{k} (- 1) - i^{k} i

= i^{k} (- 1) - i^{k} i

Simplify

i^{k} (- 1) - i^{k} i : - i^{k} - i^{k + 1}

= - i^{k} - i^{k + 1}

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Frequently Asked Questions (FAQ)

What is expand (-1-i)*i^k ?
The solution to expand (-1-i)*i^k is -i^k-i^{k+1}