LEARN · EXPLAIN · REVISE

Evaluate the power.

Read the idea, work independently, then explain what changed.

TOPIC 01

Complex numbers: mixed assessment

A mixed assessment: identify the method, justify it and revise your reasoning.

Use one hint at a time. A correction explains what changed, not just the final answer.

01 / Standard#Your turn

i^{42}

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Expand with i²=−1 and use a conjugate to remove a complex denominator.

Hint 2

Powers of i repeat every four exponents.

Worked solution

The requested value is -1.

Checks and common pitfalls: Reduce the exponent modulo four.

Think first. Reveal a hint when the class is ready.

Teacher preparation and assessment