Are the following statements true or false? Correct the false ones by changing the right-hand side and write the statements again.

(7) (–1)²⁰ = 1

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Solution

(–1)²⁰ = 1
Consider (–1)²⁰
= (–1) × (–1) × (–1) ×(–1) ×(–1) ×(–1) ×(–1) ×(–1) ×(–1) ×(–1) ×(–1) ×(–1) ×(–1) ×(–1) ×(–1) ×(–1) ×(–1) ×(–1) ×(–1) ×(–1)
= 1 (Product of a negative sign is positive if multiplied for an even number of times)
∴ (–1)²⁰ = 1 is a true statement.

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