What is 2i^8-7i^9+2i^{95}-23i^{82} ?

The solution to 2i^8-7i^9+2i^{95}-23i^{82} is 25-9i

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simplify 2i^8-7i^9+2i^{95}-23i^{82}

simplify

2 i^{8} - 7 i^{9} + 2 i^{95} - 23 i^{82}

25 - 9 i

Solution steps

2 i^{8} - 7 i^{9} + 2 i^{95} - 23 i^{82}

2 i^{8} = 2

i^{9} = i

2 i^{95} = - 2 i

23 i^{82} = - 23

= 2 - 7 i - 2 i - (- 23)

Apply rule:

a - (- b) = a + b

- 2 i - (- 23) = - 2 i + 23

= 2 - 7 i - 2 i + 23

Group like terms

= - 7 i - 2 i + 2 + 23

Add similar elements:

- 7 i - 2 i = - 9 i

= - 9 i + 2 + 23

Add the numbers:

2 + 23 = 25

= - 9 i + 25

Rewrite in standard complex form:

25 - 9 i

= 25 - 9 i

\frac{x ^{2} - 16}{2 x + 8} \cdot \frac{x ^{3} - 2 x ^{2} + x}{x ^{2} + 3 x - 4}

(\frac{1}{2} + \frac{i}{2})^{2021}

(3 x + 2) (2 x + 5)

\frac{121}{25}

6 (18 + 8)

What is 2i^8-7i^9+2i^{95}-23i^{82} ?
The solution to 2i^8-7i^9+2i^{95}-23i^{82} is 25-9i