Powers of i (Level 2)

This math topic focuses on simplifying powers of the imaginary unit \( i \). Practicing these problems helps build understanding of the cyclical nature of powers of \( i \), where \( i^1 = i \), \( i^2 = -1 \), \( i^3 = -i \), and \( i^4 = 1 \) before repeating the cycle. The exercises include evaluating higher powers of \( i \) and matching them with the correct simplified values from multiple-choice options. This topic is part of a broader unit on complex numbers.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Powers of i

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Simplify the power of i

i9i^{9}

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Complex Numbers - Powers of i Worksheet

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Math worksheet on 'Complex Numbers - Powers of i (Level 2)'. Part of a broader unit on 'Complex Numbers' Learn online: app.mobius.academy/math/units/complex_numbers/
1
Simplify the power of i
A LaTex expression showing i to the power of 9
a A LaTex expression showing 1
b A LaTex expression showing -i
c A LaTex expression showing -1
d A LaTex expression showing i
2
Simplify the power of i
A LaTex expression showing i to the power of 11
a A LaTex expression showing 1
b A LaTex expression showing -1
c A LaTex expression showing -i
d A LaTex expression showing i
3
Simplify the power of i
A LaTex expression showing i to the power of 8
a A LaTex expression showing 1
b A LaTex expression showing i
c A LaTex expression showing -1
d A LaTex expression showing -i
4
Simplify the power of i
A LaTex expression showing i to the power of 10
a A LaTex expression showing i
b A LaTex expression showing 1
c A LaTex expression showing -i
d A LaTex expression showing -1
5
Simplify the power of i
A LaTex expression showing i to the power of 5
a A LaTex expression showing i
b A LaTex expression showing 1
c A LaTex expression showing -i
d A LaTex expression showing -1