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Popular >

simplify i^4-5i^3-4i-1

Solution

simplify

i^{4} - 5 i^{3} - 4 i - 1

Solution

i

Solution steps

i^{4} - 5 i^{3} - 4 i - 1

i^{4} = 1

5 i^{3} = - 5 i

= 1 - (- 5 i) - 4 i - 1

Apply rule:

a - (- b) = a + b

1 - (- 5 i) = 1 + 5 i

= 1 + 5 i - 4 i - 1

Group like terms

= 5 i - 4 i + 1 - 1

Add similar elements:

5 i - 4 i = i

= i + 1 - 1

Subtract the numbers:

1 - 1 = 0

= i

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Frequently Asked Questions (FAQ)

What is i^4-5i^3-4i-1 ?
The solution to i^4-5i^3-4i-1 is i