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

(8) (–1)¹⁵ = –1

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Solution

(–1)¹⁵
= (–1) × (–1) × (–1) × (–1) × (–1) × (–1) × (–1) ×(–1) × (–1) × (–1) × (–1) × (–1) × (–1) × (–1) × (–1)
= (–1) = –1 (Product of negative sign is positive if multiplied for an even number of times)
∴ (–1)¹⁵ = –1 is a true statement.

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