What is 5i^{18}+7i^{25}+2i^{28}+6i^{43} ?

The solution to 5i^{18}+7i^{25}+2i^{28}+6i^{43} is -3+i

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simplify 5i^{18}+7i^{25}+2i^{28}+6i^{43}

simplify

5 i^{18} + 7 i^{25} + 2 i^{28} + 6 i^{43}

- 3 + i

Solution steps

5 i^{18} + 7 i^{25} + 2 i^{28} + 6 i^{43}

5 i^{18} = - 5

i^{25} = i

2 i^{28} = 2

6 i^{43} = - 6 i

= - 5 + 7 i + 2 - 6 i

Group like terms

= 7 i - 6 i - 5 + 2

Add similar elements:

7 i - 6 i = i

= i - 5 + 2

Add the numbers:

- 5 + 2 = - 3

= i - 3

Rewrite in standard complex form:

- 3 + i

= - 3 + i

720 - 80 + 345

\frac{180}{36}

1 + 3 e^{i - \frac{3}{2} π}

\frac{1}{5 + i}

What is 5i^{18}+7i^{25}+2i^{28}+6i^{43} ?
The solution to 5i^{18}+7i^{25}+2i^{28}+6i^{43} is -3+i