What is simplify-2i^{37}+i^{84}+5i^{111}+3i^{20} ?

The solution to simplify-2i^{37}+i^{84}+5i^{111}+3i^{20} is 4-7i

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simplify-2i^{37}+i^{84}+5i^{111}+3i^{20}

simplify

- 2 i^{37} + i^{84} + 5 i^{111} + 3 i^{20}

4 - 7 i

Solution steps

- 2 i^{37} + i^{84} + 5 i^{111} + 3 i^{20}

i^{37} = i

i^{84} = 1

5 i^{111} = - 5 i

3 i^{20} = 3

= - 2 i + 1 - 5 i + 3

Group like terms

= - 2 i - 5 i + 1 + 3

Add similar elements:

- 2 i - 5 i = - 7 i

= - 7 i + 1 + 3

Add the numbers:

1 + 3 = 4

= - 7 i + 4

Rewrite in standard complex form:

4 - 7 i

= 4 - 7 i

(3 x^{2} + 2)^{3}

\frac{5 2}{5}

x e^{\frac{- x ^{2}}{2}}

\frac{- 9}{12}

What is simplify-2i^{37}+i^{84}+5i^{111}+3i^{20} ?
The solution to simplify-2i^{37}+i^{84}+5i^{111}+3i^{20} is 4-7i