erform the indicated operation, and write the expressi

Ask by Klein Fowler. in the United States

Mar 31,2025

Question

erform the indicated operation, and write the expressi $$ i^{20}+i^{10}-i^{4}-i^{2} $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ i^{20}+i^{10}-i^{4}-i^{2} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$i^{20}+i^{10}-i^{4}-i^{2}$$
- step1: Evaluate the power:
  $$1+i^{10}-i^{4}-i^{2}$$
- step2: Evaluate the power:
  $$1-1-i^{4}-i^{2}$$
- step3: Evaluate the power:
  $$1-1-1-i^{2}$$
- step4: Evaluate the power:
  $$1-1-1-\left(-1\right)$$
- step5: Simplify:
  $$-1-\left(-1\right)$$
- step6: Subtract the terms:
  $$0$$
The expression $$i^{20}+i^{10}-i^{4}-i^{2}$$ simplifies to 0.
The expression simplifies to 0.

erform the indicated operation, and write the expressi

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