What is 5/i+2/(i^5)-(20)/(i^{18)} ?

The solution to 5/i+2/(i^5)-(20)/(i^{18)} is 20-7i

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simplify 5/i+2/(i^5)-(20)/(i^{18)}

simplify

\frac{5}{i} + \frac{2}{i ^{5}} - \frac{20}{i ^{18}}

20 - 7 i

Solution steps

\frac{5}{i} + \frac{2}{i ^{5}} - \frac{20}{i ^{18}}

\frac{5}{i} = - 5 i

\frac{2}{i ^{5}} = - 2 i

\frac{20}{i ^{18}} = - 20

= - 5 i - 2 i - (- 20)

Apply rule:

a - (- b) = a + b

- 2 i - (- 20) = - 2 i + 20

= - 5 i - 2 i + 20

Add similar elements:

- 5 i - 2 i = - 7 i

= - 7 i + 20

Rewrite in standard complex form:

20 - 7 i

= 20 - 7 i

16 (x + 5)^{2} = 1024

3 x^{2} - 5 x + 11 < 0

4 (r - 3)^{2} - 6 = 0

x^{2} - (1 \cdot 1 0^{- 7}) x - (1 \cdot 1 0^{- 14}) = 0

(\frac{3 x ^{2}}{5})^{2}

What is 5/i+2/(i^5)-(20)/(i^{18)} ?
The solution to 5/i+2/(i^5)-(20)/(i^{18)} is 20-7i