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Popular >

simplify i^4+i^9+i^{16}

Solution

simplify

i^{4} + i^{9} + i^{16}

Solution

2 + i

Solution steps

i^{4} + i^{9} + i^{16}

i^{4} = 1

i^{9} = i

i^{16} = 1

= 1 + i + 1

Group like terms

= i + 1 + 1

Add the numbers:

1 + 1 = 2

= i + 2

Rewrite in standard complex form:

2 + i

= 2 + i

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Frequently Asked Questions (FAQ)

What is i^4+i^9+i^{16} ?
The solution to i^4+i^9+i^{16} is 2+i